{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wien's Law"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<i>© Von P. Walden, Washington State University</i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "from bt2rad_wv import bt2rad_wv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "wv = np.arange(0.1, 100000, 0.05)\n",
    "T  = np.array([3., 10., 30., 100., 300., 1000., 3000., 10000.])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Planck Function at mean of the temperature of Earth (288 K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Planck Functions at mean temperature of Earth (288 K)')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(wv,bt2rad_wv(wv,288.))\n",
    "axis([0.1, 100000, 10e-11, 100]);\n",
    "xlabel('WAVELENGTH (um)')\n",
    "ylabel('PLANCK RADIANCE (W m-2 sr-1 um-1)')\n",
    "title('Planck Functions at mean temperature of Earth (288 K)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Planck Functions at Temperature of Sun and Earth (5800K, 288 K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x127671940>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/vonw/anaconda3/envs/work/lib/python3.6/site-packages/IPython/core/events.py:88: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n",
      "  func(*args, **kwargs)\n",
      "/Users/vonw/anaconda3/envs/work/lib/python3.6/site-packages/IPython/core/pylabtools.py:128: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(wv,bt2rad_wv(wv,288.))\n",
    "loglog(wv,bt2rad_wv(wv,5800.),'r')\n",
    "axis([0.1, 100000, 10e-11, 10e9]);\n",
    "xlabel('WAVELENGTH (um)')\n",
    "ylabel('PLANCK RADIANCE (W m-2 sr-1 um-1)')\n",
    "title('Planck Functions at Temperatures of Sun and Earth')\n",
    "legend(['Earth', 'Sun'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Planck Functions at Temperatures between 3 and 10,000 K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/vonw/work/software/python/utilities/bt2rad_wv.py:38: RuntimeWarning: overflow encountered in exp\n",
      "  return 2*h*c*c*(wl**-5) / ( np.exp(h*c/(k*wl*bt))-1 ) / 1e6   # Converts from W m-3 to W m-2 um-1\n"
     ]
    }
   ],
   "source": [
    "rad3K     = bt2rad_wv(wv,T[0])\n",
    "rad10K    = bt2rad_wv(wv,T[1])\n",
    "rad30K    = bt2rad_wv(wv,T[2])\n",
    "rad100K   = bt2rad_wv(wv,T[3])\n",
    "rad300K   = bt2rad_wv(wv,T[4])\n",
    "rad1000K  = bt2rad_wv(wv,T[5])\n",
    "rad3000K  = bt2rad_wv(wv,T[6])\n",
    "rad10000K = bt2rad_wv(wv,T[7])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11f987a90>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(wv,rad3K,\n",
    "       wv,rad10K,\n",
    "       wv,rad30K,\n",
    "       wv,rad100K,\n",
    "       wv,rad300K,\n",
    "       wv,rad1000K,\n",
    "       wv,rad3000K,\n",
    "       wv,rad10000K)\n",
    "axis([0.1, 100000, 10e-11, 10e10]);\n",
    "xlabel('WAVELENGTH (um)')\n",
    "ylabel('PLANCK RADIANCE (W m-2 sr-1 um-1)')\n",
    "title('Collection of Planck Functions from 3 K to 10,000 K')\n",
    "legend(['3 K', '10 K', '30 K', '100 K', '300 K', '1000 K', '3000 K', '10000 K'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now place a marker at where the Planck functions peak"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "max_rad = np.array([max(rad3K),\n",
    "                    max(rad10K),\n",
    "                    max(rad30K),\n",
    "                    max(rad100K),\n",
    "                    max(rad300K),\n",
    "                    max(rad1000K),\n",
    "                    max(rad3000K),\n",
    "                    max(rad10000K)])\n",
    "wv_rad  = np.array([wv[max_rad[0] == rad3K],\n",
    "                    wv[max_rad[1] == rad10K],\n",
    "                    wv[max_rad[2] == rad30K],\n",
    "                    wv[max_rad[3] == rad100K],\n",
    "                    wv[max_rad[4] == rad300K],\n",
    "                    wv[max_rad[5] == rad1000K],\n",
    "                    wv[max_rad[6] == rad3000K],\n",
    "                    wv[max_rad[7] == rad10000K]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13ecabb00>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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l4+PDqlWrCAgIoLa2lltuuYVJkyaRlpbmsv65c+e44447GDFiRLNJdGekHmMREREREZEuyhhDQEAA4Jghu7a2ttnhynV1dcyYMYP4+HhycnLaM8w2p8RYRERERESkC6uvr2fo0KGEh4eTmZlJamqqy3q//vWv8fLy4rnnnmvnCNuehlKLiIiIiIh0AE/9fQc7D51o1TYHRfXgydsTW6zj6enJtm3bOHbsGNOmTaOwsJCkpKRL6t1yyy2sX7+evXv30r9//1aN093UYywiIiIiIiIEBQWRnp5OXl6ey+3jxo3jueeeY9KkSRw6dKido2tb6jEWERERERHpAC7Xs9sWysvL8fb2JigoiOrqalasWMETTzzRbP077riD8vJybrvtNtauXUtQUFA7Rtt2lBiLiIiIiIh0UaWlpWRlZVFfX09DQwPTp09n8uTJLe5z//33c/jwYaZMmcKHH36Ir69vO0Xbdoy11t0xtLnk5GS7efNmd4chIiIiIiJygV27dpGQkODuMDoVV9fMGLPFWpt8rW3qGWMRERERERHp0pQYi4iIiIiISJemxFhERERERES6NCXGIiIiIiIi0qUpMRYREREREZEuTYmxiIiIiIiIdGlKjEVERERERLqwOXPmEB4eTlJS0gXllZWVZGZmEh8fT2ZmJlVVVZfsu3///gv2+/Of/8zw4cNd1u3IlBiLiIiIiIh0YbNnzyYvL++S8pycHDIyMigqKiIjI4OcnJwW21m4cCF/+tOf+PDDDwkODm6rcNuEEmMREREREZEubNy4cYSEhFxSvmzZMrKysgDIyspi6dKlzbaxZMkScnJy+PDDDwkLC2uzWNuKl7sDEBERERERkY7nyJEjREZGAhAZGUlZWZnLegcOHGDevHl89tln9O7duz1DbDVKjEVERERERDqCD7Lh8Bet22bvwTCp5SHQ31avXr0ICQlhyZIlPProo216rLaiodQiIiIiIiJyiYiICEpLSwEoLS0lPDzcZT1/f38++OADXn75ZRYtWtSeIbYa9RiLiIiIiIh0BG3cs3u1pkyZQm5uLtnZ2eTm5jJ16tRm6/bq1Yu8vDzS09MJCwtj4sSJ7Rjpt6ceYxERERERkS7snnvuYdSoUezZs4fo6Gjmz58PQHZ2Nh999BHx8fF89NFHZGdnt9hObGws77zzDnPmzGHDhg3tEXqrMdZad8fQ5pKTk+3mzZvdHYaIiIiIiMgFdu3aRUJCgrvD6FRcXTNjzBZrbfK1tqkeYxEREREREenSlBiLiIiIiIhIl6bEWERERERERLo0JcYiIiIiIiLSpSkxFhERERERkS5NibGIiIiIiIh0aUqMRUREREREuqiamhpSUlIYMmQIiYmJPPnkk03bKisryczMJD4+nszMTKqqqi7Zf//+/SQlJTX9/uc//5nhw4e7rNuRKTEWERERERHponx8fFi1ahXbt29n27Zt5OXlUVBQAEBOTg4ZGRkUFRWRkZFBTk5Oi20tXLiQP/3pT3z44YcEBwe3R/itRomxiIiIiIhIF2WMISAgAIDa2lpqa2sxxgCwbNkysrKyAMjKymLp0qXNtrNkyRJycnL48MMPCQsLa/vAW5kSYxERERERkS6svr6eoUOHEh4eTmZmJqmpqQAcOXKEyMhIACIjIykrK3O5/4EDB5g3bx4ffvghvXv3bre4W5OXuwMQERERERER+NXGX7G7cnertjkwZCBPpDzRYh1PT0+2bdvGsWPHmDZtGoWFhRc8N3w5vXr1IiQkhCVLlvDoo49+25DdQj3GIiIiIiIiQlBQEOnp6eTl5QEQERFBaWkpAKWlpYSHh7vcz9/fnw8++ICXX36ZRYsWtVu8rUk9xiIiIiIiIh3A5Xp220J5eTne3t4EBQVRXV3NihUreOIJRxxTpkwhNzeX7OxscnNzmTp1arPt9OrVi7y8PNLT0wkLC2PixIntdQqtQj3GIiIiIiIiXVRpaSnjx4/n5ptvZuTIkWRmZjJ58mQAsrOz+eijj4iPj+ejjz4iOzu7xbZiY2N55513mDNnDhs2bGiP8FuNsda6O4Y2l5ycbDdv3uzuMDqURYsW8dOf/pRvvvmGmJgYnnnmGe699153hyUiIiIi0qXs2rWLhIQEd4fRqbi6ZsaYLdba5GttU0Opu5iGhgYWLlzIAw88QHV1NeCYRe6+++4DUHIsIiIiIiJdjhLj68CpU6coLS3l0KFDHDlyhJqamqY1yBpf586do7a2lvr6ep577rmmpLjRmTNnmDdvHuXl5fj6+uLn53fBq3v37oSEhBAaGkpwcDCenp5uOlsREREREZHWpcS4kzlz5kxTEtz4On78eNP2kJAQ/P398fb2xs/PD29v76ZXt27d8Pb25he/+IXLto8fP05MTAzV1dXU1NRQVlZGdXU11dXVNDQ0NNUzxhAcHExoaChhYWGEhoYSGhpKeHg43bt3b/NrICIiIiIi0pqUGHdgNTU1lyTBVVVVTdtDQkLo06cPqampREVF0bt3b3x9fS/bbkxMDAcOHHBZ/sMf/vCScmst1dXVVFRUXPLat28fdXV1TXV79uzJDTfcQFRUFDfccAORkZFXFJOIiIiIiIi7KDHuYE6cOEFBQQF79uyhoqKiqTwoKIioqChGjBhBVFQUkZGR+Pn5XdMxnnnmGe677z7OnDnTVObv788zzzzjsr4xBn9/f/z9/enTp88F2xoaGjh58iRHjx7l8OHDHDp0iJKSEnbu3NlUJywsjKioKG688Ub69u1LSEgIxphril1ERERERKS1KTHuIMrLy/n000/Zvn071lri4uIYMmRIUxLcmkOUGyfYao1ZqT08POjZsyc9e/bkpptuaio/ffr0BT3dX331FZ9//jkAPXr0oG/fvk2v4OBgJcoiIiIiIuI2Wq7JzQ4ePEh+fj67d+/Gy8uLYcOGMWrUKEJCQtwdWquy1nL06FH279/Pvn372L9/f1OPdc+ePYmLiyM+Pp7Y2Fh8fHzcHK2IiIiISPvoCMs1zZkzh3fffZfw8HAKCwubyisrK7n77rvZv38/ffv2ZcmSJQQHBwPw7LPPMn/+fDw9PfnjH//IxIkTL2k3PT2d3/72tyQnJ7N//34yMzN54YUXXNa9Glqu6TphraWoqIj8/HwOHDiAr68v48aNIyUlhYCAAHeH1yaMMfTq1YtevXoxcuRIrLWUl5ezf/9+vv76a7744gu2bNmCp6cnN954I/Hx8cTHxxMWFubu0EVERERErmuzZ89m3rx5zJo164LynJwcMjIyyM7OJicnh5ycHH71q1+xc+dOFi9ezI4dOzh06BATJkxg7969za5cU1xczMSJE/nd7373rZPitqLEuB3V19dTWFhIfn4+ZWVl9OjRg4kTJzJ8+PAu10tqjCE8PJzw8HBSUlKoq6vjm2++oaioiC+//JLly5ezfPlyQkNDGThwIAkJCURFReHh4eHu0EVERERErivjxo1j//79l5QvW7aMNWvWAJCVlUV6ejq/+tWvWLZsGTNmzMDHx4fY2Fji4uLYuHEjo0aNuqSNw4cPM2vWLJ5++mmmTJnSxmdy7ZQYt4Nz586xdetW1q9fz/Hjx+nVqxc/+MEPSEpKwstLbwGAl5cX/fr1o1+/fkycOJGqqiqKiorYtWsXn376Kfn5+QQGBjYlyX379lWSLCIiIiLSho4cOUJkZCQAkZGRlJWVAVBSUkJaWlpTvejoaEpKSly20ZgU33XXXW0f8LfQKbMyY0wM8AJwFNhrrc1xc0gunT59mo0bN7Jx40aqq6uJiYnhe9/7HvHx8UrqLiM4OJiUlBRSUlI4c+YMe/fuZffu3Xz22Wds2rSJgIAAEhMTGTx4MDfccIMm7xIRERGRTu/wL3/J2V27W7VNn4SB9P63f2vVNl3NU9Xc9/EJEyawcOFCZs+ejb+/f6vG0Zo6TGJsjHkNmAyUWWuTziu/DXge8ARedSbB/YH3rLX/aYxZ4JaAW1BVVcX69evZunUrdXV1DBgwgDFjxhATE+Pu0Dolf39/hg4dytChQzl37hxFRUV88cUXbN68mQ0bNhAcHExSUhKDBw8mPDzc3eGKiIiIiFwXIiIiKC0tJTIyktLS0qbv2tHR0Rw8eLCpXnFxMVFRUS7bePzxx/nrX//KXXfdxbJlyzrsiNmOFNXrOHqBmxJdY4wn8CKQCRQDm4wx7wCfAT81xtwNLGz/UF07fPgw+fn5FBYWYozh5ptvZvTo0UrWWlG3bt1ITEwkMTGR6upqdu3aRWFhIevWreOTTz4hIiKCpKQkkpKSmmbMExERERHpDFq7Z/fbmjJlCrm5uWRnZ5Obm8vUqVObymfOnMljjz3GoUOHKCoqIiUlpdl2/vCHPzBz5kzmzp3L66+/3iFHe3aYxNhau9YY0/ei4hTgS2vt1wDGmMXAVKAWeNK5z9vAX9ozVlc2btzI+++/T7du3UhLSyMtLY2ePXu6O6zrmp+fH8OHD2f48OGcPHmSnTt38sUXX7By5UpWrlxJTEwMw4YNY9CgQV1ucjMRERERkSt1zz33sGbNGo4ePUp0dDRPPfUUc+fOJTs7m+nTpzN//nxiYmJ46623AEhMTGT69OkMGjQILy8vXnzxxWZnpAbHMOvc3FwmT57M448/zm9+85v2OrUr1qHWMXYmxu82DqU2xtwJ3Gat/Qfn7z8CUoGXgZ/jeMb4lLX2n120dR9wH0BMTMyIAwcOtFnc69atY8WKFfTv359p06bh5+fXZseSy6usrKSwsJDt27dTUVGBt7c3iYmJDBs2jJiYmA55h0pEREREuqaOsI5xZ9MV1zF2lcFYa20hcGdLO1prXwFeAUhOTm6T7N9ay+rVq1m7di1JSUlMmzatxTsl0j5CQkIYN24cY8eO5eDBg3z22Wfs2LGDbdu2ERISwrBhwxgyZAg9evRwd6giIiIiItIBdPTEuBjoc97v0cAhN8VyAWsty5cvp6CggOHDhzN58mTNNN3BGGOIiYkhJiaG2267jV27dvHZZ5+xcuVKVq1aRVxcHCNGjCA+Pl43NEREREREurCOnhhvAuKNMbFACTADmOnekKChoYF3332XrVu3kpaWxsSJEzU8t4Pz8fFpmtm6oqKCbdu2sW3bNhYvXkyPHj0YMWIEw4cPJzAw0N2hioiIiIhIO+swibEx5k0gHQgzxhTjmFxrvjFmHrAcx3JNr1lrd7gxTOrr6/nb3/5GYWEh48aNY/z48UqKO5nQ0FAyMjJIT09n7969bNq0idWrV/Pxxx8zcOBARo4cSd++ffW+ioiIiIh0ER0mMbbW3tNM+fvA++0cjku1tbW8/fbb7NmzhwkTJnDLLbe4OyT5Fjw9PUlISCAhIYGKigo2b97MZ599xs6dOwkLCyM5OZkhQ4ZoMjURERERketch0mMO7pz586xePFivv76a773ve+1uE6XdD6hoaFMnDiRW2+9lR07drBp0yby8vJYsWIFgwcPZuTIkc0uWi4iIiIiIp2bZou6AjU1NSxcuJB9+/bxgx/8QEnxdczb25uhQ4fy4x//mPvuu4+bb76ZwsJCXnnlFV599VUKCwupr693d5giIiIiIq2ipqaGlJQUhgwZQmJiIk8++WTTtsrKSjIzM4mPjyczM5Oqqqqmbc8++yxxcXEMGDCA5cuXu2w7PT2dzZs3A7B//37i4+ObretuSowv4/Tp0+Tm5lJSUsKdd97J0KFD3R2StJOoqCimTJnCY489xm233cbp06d5++23ef7558nPz6e6utrdIYqIiIiIfCs+Pj6sWrWK7du3s23bNvLy8igoKAAgJyeHjIwMioqKyMjIICcnB4CdO3eyePFiduzYQV5eHg8++GCLnUfFxcVMnDiR3/3ud0ycOLFdzutqKTFuwYkTJ3j99dcpLy9nxowZJCYmujskcQM/Pz/S0tJ46KGHmDFjBiEhIXz00Uf8/ve/57333uPo0aPuDlFERERE5JoYYwgICAAccyrV1tY2TUK7bNkysrKyAMjKymLp0qVN5TNmzMDHx4fY2Fji4uLYuHGjy/YPHz7Md7/7XZ5++mmmTJnSDmd0bfSMcTOOHTtGbm4up0+f5t577yU2NtbdIYmbeXh4MHDgQAYOHEhpaSkFBQVs3ZRh4MgAACAASURBVLqVTZs20b9/f9LS0oiNjdVs1iIiIiLSqdTX1zNixAi+/PJLfvKTn5CamgrAkSNHiIyMBCAyMpKysjIASkpKSEtLa9o/OjqakpISl23PmjWLp59+mrvuuquNz+LbUWLswtGjR1mwYAHnzp1j1qxZREdHuzsk6WAiIyOZNm0aEyZMYPPmzWzatIkFCxYQERFBWloaSUlJeHt7uztMEREREelEPlmyl6MHT7Vqm2F9Ahg7vX+LdTw9Pdm2bRvHjh1j2rRpFBYWkpSU1Gx9a+0lZc11Dk2YMIGFCxcye/Zs/P39ry74dqSh1Bc5fPgwf/nLX6irq2P27NlKiqVFgYGBjB8/nkcffZQpU6ZgrWXZsmU899xzrF69mtOnT7s7RBERERGRKxIUFER6ejp5eXkAREREUFpaCkBpaSnh4eGAo4f44MGDTfsVFxc3u4LL448/TmpqKnfddRd1dXVtfAbXTj3G5ykuLuavf/0r3t7eZGVlERYW5u6QpJPw9vZm+PDhDBs2jH379rF+/Xo+/vhj8vPzGT58OKNGjSI4ONjdYYqIiIhIB3a5nt22UF5ejre3N0FBQVRXV7NixQqeeOIJAKZMmUJubi7Z2dnk5uYyderUpvKZM2fy2GOPcejQIYqKilpcuecPf/gDM2fOZO7cubz++usd8tFDJcZO+/fv54033qB79+7MmjVLSYxcE2MM/fr1o1+/fpSVlfHpp582DbVOTExkzJgxTc9piIiIiIi4W2lpKVlZWdTX19PQ0MD06dOZPHkyANnZ2UyfPp358+cTExPDW2+9BUBiYiLTp09n0KBBeHl58eKLL+Lp6dnsMYwx5ObmMnnyZB5//HF+85vftMu5XQ3janz49SY5Odk2rp/lSlFREf/1X/9FUFAQs2bNokePHu0YnVzvjh8/zoYNG9i8eTPnzp3jpptuYsyYMZqoS0RERETYtWsXCQkJ7g6jU3F1zYwxW6y1ydfaZpfvMd65cydvv/024eHh/OhHP6J79+7uDkmuMz179uS73/0uY8eOZfPmzRQUFLBgwQIiIyMZM2YMgwYNwsNDj/uLiIiIiLhLl06Mt2/fztKlS4mOjmbmzJn4+fm5OyS5jvn5+TF27FjS0tL4/PPPyc/P5+233yY4OJjRo0czdOhQzWQtIiIiIuIGXTYx3rRpE++99x6xsbFNi1OLtAdvb29GjBjBsGHD2L17N/n5+bz33nusXr2atLQ0UlJS8PX1dXeYIiIiIiJdRpdMjPPz8/noo4/o378/d911l3rpxC08PDwYNGgQCQkJHDhwgHXr1rFq1Sry8/NJTU0lNTVVQ/tFRERERNpBl0qMrbWsXr2atWvXkpiYyA9/+MMWZ08TaQ/GGPr27Uvfvn05dOgQn3zyCWvXrmX9+vUkJyczevRoAgMD3R2miIiIiMh1q8skxtZali9fTkFBAcOGDeP222/XhEfS4URFRXH33XdTVlbGJ598QkFBARs3bmT48OGMGTOGoKAgd4coIiIiInLd6TKZ4d///ncKCgpITU1VUiwdXnh4OHfccQfz5s1jyJAhbNmyhT/+8Y8sXbqUiooKd4cnIiIiIteROXPmEB4eTlJS0gXllZWVZGZmEh8fT2ZmJlVVVU3bnn32WeLi4hgwYADLly9vKt+yZQuDBw8mLi6Ohx9+GFfLA7/++uvMmzcPgIaGBrKyspgzZ47Luu2lS2SHVVVVbN26lbFjx3LbbbcpKZZOIzQ0lClTpvDII4+QnJxMYWEhL7zwAm+//TZHjhxxd3giIiIich2YPXs2eXl5l5Tn5OSQkZFBUVERGRkZ5OTkAI4lbxcvXsyOHTvIy8vjwQcfpL6+HoAHHniAV155haKiIoqKily228hay/33309tbS2vvvoqxpi2OcEr0CUyxOrqajIyMsjIyHDrxRa5Vj179uR73/se//iP/8jo0aPZu3cvL730Em+++SYlJSXuDk9EREREOrFx48YREhJySfmyZcvIysoCICsri6VLlzaVN67sExsbS1xcHBs3bqS0tJQTJ04watQojDHMmjWraR9XHnnkESoqKliwYIHbOy+7xDPGISEhjB071t1hiHxrAQEBZGZmMmbMGDZs2MCGDRv485//zE033UR6ejp9+vRxd4giIiIicp04cuQIkZGRAERGRlJWVgZASUkJaWlpTfWio6MpKSnB29ub6OjoS8pdeeONN0hISGDNmjV4ebk/LXV/BO1Aa8LK9cbf35/x48czatQoNm3axPr165k/f74SZBEREZFObPXrr1B24OtWbTP8xn6Mn31fq7bp6llgY0yz5a4MHz6c3bt3s3HjRsaMGdOq8V2LLjGUWuR65evry9ixY3nkkUfIzMyktLSU+fPns3DhQg4ePOju8ERERESkE4uIiKC0tBSA0tJSwsPDAUdP8PnfNYuLi4mKiiI6Opri4uJLyl0ZOHAgS5Ys4e6772bHjh1teBZXpkv0GItc73x8fBgzZgzJycls3ryZ/Px89SCLiIiIdDKt3bP7bU2ZMoXc3Fyys7PJzc1l6tSpTeUzZ87kscce49ChQxQVFZGSkoKnpyeBgYFNqwEtWLCAhx56qNn2R48ezcsvv8z3v/991q5dS0xMTHud2iWUGItcR5Qgi4iIiMjVuueee1izZg1Hjx4lOjqap556irlz55Kdnc306dOZP38+MTExvPXWWwAkJiYyffp0Bg0ahJeXFy+++CKenp4AvPTSS8yePZvq6momTZrEpEmTWjz25MmTKS8v57bbbuOTTz4hNDS0zc/XFePOtaLaS3Jyst28ebO7wxBpd2fPnm1KkM+cOaMEWURERKSD2bVrFwkJCe4Oo1Nxdc2MMVustcnX2qZ6jEWuY+pBFhERERG5PCXGIl2AEmQRERERkeYpMRbpQlpKkMePH3/BunMiIiIiIl2FEmORLshVgvzqq6/Sv39/xo8f37SQu4iIiIhIV6DEWKQLOz9B3rBhA59++in/+Z//yaBBg0hPT29aq05ERERE5HqmxFhE8PHxYdy4cYwcOZKCggLWr1/Pzp07GTx4MOnp6W6bNl9EREREpD14uDsAEek4/Pz8GD9+PI888ghjxoxh165dvPDCCyxbtoxjx465OzwRERERaWU1NTWkpKQwZMgQEhMTefLJJ5u2VVZWkpmZSXx8PJmZmVRVVTVte/bZZ4mLi2PAgAEsX768qXzLli0MHjyYuLg4Hn74YVwtD/z6668zb948ABoaGsjKymLOnDku67YXJcYiconu3buTmZnJI488QkpKCp9//jl//OMfee+99zhx4oS7wxMRERGRVuLj48OqVavYvn0727ZtIy8vj4KCAgBycnLIyMigqKiIjIwMcnJyANi5cyeLFy9mx44d5OXl8eCDD1JfXw/AAw88wCuvvEJRURFFRUXk5eU1e2xrLffffz+1tbW8+uqrGGPa/oSbocRY5DIWLVpE37598fDwoG/fvixatMjdIbWbwMBAJk2axMMPP8ywYcPYsmULzz//PHl5eZw6dcrd4YmIiIjIt2SMISAgAIDa2lpqa2ubEtRly5aRlZUFQFZWFkuXLm0qnzFjBj4+PsTGxhIXF8fGjRspLS3lxIkTjBo1CmMMs2bNatrHlUceeYSKigoWLFiAh4d7U1M9YyzSgkWLFnHfffdx5swZAA4cOMB9990HwL333uvO0NpVz549uf322xkzZgxr165lw4YNbNmyhdTUVEaPHo2/v7+7QxQRERGRa1RfX8+IESP48ssv+clPfkJqaioAR44caVqtJDIykrKyMgBKSkpIS0tr2j86OpqSkhK8vb0vWP6zsdyVN954g4SEBNasWYOXl/vTUvdHIOIGtrae2rJq6qtqqDt+lvpjZ6k/fpaGM3U0nK6lobqOhuo6nnjun5qS4kZnzpzhiZ/8E+l7YzFeBuPlgYe/Nx4B3nj4e+PZ3RuP7t54BnbDM9gHrxBfPIN8MJ6df4BGSEgIP/jBD7jllltYs2YN69atY9OmTYwaNYq0tDR8fX3dHaKIiIhIp3Xs719x7tDpVm2zW1R3gm6/qcU6np6ebNu2jWPHjjFt2jQKCwtJSkpqtr6rZ4GNMc2WuzJ8+HB2797Nxo0bGTNmzGXOou0pMZbrXv3pWs4dOMG5gyepPXya2rIz1FfWwPl/t14eeAX5OBLaIB+8I7vj4evFoZNlLts8dKKM7skR2HqLPVfflFCfq6yh4VQt9mz9hTsY8OzpSJK9wv3xjvBv+q9nQLe2O/k2EhYWxp133snYsWNZvXo1a9asoaCggDFjxpCamkq3bp3vnERERES6uqCgINLT08nLyyMpKYmIiAhKS0uJjIyktLS0aSnP6OhoDh482LRfcXExUVFRREdHU1xcfEm5KwMHDuQXv/gF06dPZ/ny5SQmJrbtyV2GEmO57tSfOkfNnirOfn2ccwdOUHe02rHBA7zC/OgWFYD3sHC8wv3xCvXDM8gHD38vl3ezYmJiOHDggMvylu682boG6k+eo66yxtErXVlDfdVZ6iprOLOtHFtT11TXI8CbbjcE4B0dSLc+gXSLDug0yXJERAQzZszg0KFDrF69mpUrV1JQUMDYsWNJTk7uEMNiRERERDqLy/XstoXy8nK8vb0JCgqiurqaFStW8MQTTwAwZcoUcnNzyc7OJjc3l6lTpzaVz5w5k8cee4xDhw5RVFRESkoKnp6eBAYGUlBQQGpqKgsWLOChhx5q9tijR4/m5Zdf5vvf/z5r164lJiamXc7ZFX1rlU7PWktt6WlqdldSs7uScwdPggWP7l50i+mBf3IEPjf2oFt0AMbb86rafuaZZy54xhjA39+fZ555psX9jJcHXsG+eAVfOrTYWkvDyXPUHj5D7ZEz1B4+zbnik9TsrWrqxfYM9nEmyYH49OuJd1QAxsN9s/RdTlRUFPfeey/ffPMNq1atIi8vj/Xr15Oens6QIUPcPpmCiIiIiLhWWlpKVlYW9fX1NDQ0MH36dCZPngxAdnY206dPZ/78+cTExPDWW28BkJiYyPTp0xk0aBBeXl68+OKLeHo6vme/9NJLzJ49m+rqaiZNmsSkSZNaPP7kyZMpLy/ntttu45NPPiE0NLRtT7gZxp1rRbWX5ORku3nzZneHIa2s7vhZzmwt48yWI029wt7RAfgNDMF3YEirJZOLFi3ipz/9Kd988w0xMTE888wzbTLxVsPZempLTnGu+KTjdfAk9VVnATA+nvjE9sSnX88Onyhba/nqq69YuXIlpaWlhIWFceutt5KQkODWKfhFREREOqJdu3aRkJDg7jA6FVfXzBizxVqbfK1tKjGWTsXW1lO9o4LTW45w9stjYKFb3x74Dw/HLyEUz8DOMQT5StWfOMfZfcc4+/Vxzn59nLpyxw0A4+uJb1wQvgNC8B0QjGcPHzdHeilrLbt27WLVqlUcPXqUqKgoMjIy6NevnxJkERERESclxlevLRJjDaWWTqHhTC2nCko5lX+IhtO1eAb7EHhrDN2Hh+MV6ufu8NqMZ49u+A8Jx3+IY6KDpkT5y+PU7KmkurACAO/I7vgOdCTJ3fr0wHi6P/E0xjBo0CAGDBjA559/zpo1a1i4cCF9+/YlIyODPn36uDtEERERERFAibF0cPXHz3JyXQmnNxzGnqvHd0AwAWOj8enXs8MOJW5L5yfK1lpqD5+hZk8lNXsqOfnxQU6uPojx9cJ3YDB+iWH4DgjGo9vVPVfd6jF7ejJs2DAGDx7M5s2bWbt2LfPnz2fAgAHceuutREREuDU+ERERERElxtIh1R07y4kVBzjzWRlYi//NvQj4Th+6RXZ3d2gdhjGGbpHd6RbZnR7pfWiorqOmqIqaPVXU7Kqgels5eHng2z8Yv6RQ/AaG4OHv7bZ4vby8SEtLY9iwYRQUFPDpp5/y0ksvcfPNN5Oenk5ISIjbYhMRERGRrk2JsXQoDefqObW2mJMfF2MtdE/pTeDYaLxCLp3dWS7k4eeF/8298L+5F7becnb/caoLj1Kzo4KanRVUeRh84oLwvzkMv6QwPHzd8+fv4+PDd77zHUaOHEl+fj4bNmygsLCQESNGMG7cOAIDA90Sl4iIiIh0XZp8SzoEay3Vnx/l+Pv7qD9+Fr+bw+g5KdblckdydWyD5VzxSap3VFD9xVHqK2vAy+A3IAS/oeH4DQy+6mWsWtOJEydYu3YtW7duxcPDg9TUVMaMGYO/v7/bYhIRERFpL5p86+q1xeRbWlxU3O5c8UnK//NzKt/cjUd3L3r9n5sJnZmgpLiVGA+DT0wPgibF0vtfkun14BACUiM5e+AElYt2cejpDVQu2UPN3ipsffvfKOvRoweTJ09m3rx5JCQkkJ+fz/PPP8/atWs5e/Zsu8cjIiIi0tXMmTOH8PBwkpKSLiivrKwkMzOT+Ph4MjMzqaqqatr27LPPEhcXx4ABA1i+fHlT+ZYtWxg8eDBxcXE8/PDDNHbEnj17lrvvvpu4uDhSU1PZv3+/y1gCAgKafn7//feJj4/nm2++acWzdU2JsbiNrWvg2HtfU/biNurKqwn+YTzh84bhE9vT3aFdt4xxJsm330Tkv6USNjcJv8FhVO+s4OhrhZTmbODY+/uoLTvT7rGFhIRwxx138MADD9C3b19WrVrFH//4RzZs2EBdXV27xyMiIiLSVcyePZu8vLxLynNycsjIyKCoqIiMjAxycnIA2LlzJ4sXL2bHjh3k5eXx4IMPUl9fD8ADDzzAK6+8QlFREUVFRU3tzp8/n+DgYL788kseffRRnnjiiRZjWrlyJQ899BB5eXnExMS08hlfSomxuEVt2RnKXtzGqU9K6J7Sm97/kkz3lN5dcqZpdzEeBt/4YELu7E/Uz9II/V8JdOvTg1PrSjjy+y2O96eglIbq9k1KIyIiuOeee5g7dy69evXigw8+4E9/+hPbtm2joaGhXWMRERER6QrGjRvnciLUZcuWkZWVBUBWVhZLly5tKp8xYwY+Pj7ExsYSFxfHxo0bKS0t5cSJE4waNQpjDLNmzbpgn8a27rzzTlauXElzj/V+8skn/PjHP+a9997jpptuaotTvoQm35J2Za3l9IZSjr27Dw8fD0KzBuGXEOrusLo84+WBX5JjUq76U+c481kZpzcf4djSLzn27tf4JYbSPTkCn5uC2u3mRZ8+fcjKyuKrr75i5cqVLF26lE8//ZSMjAz69++PMbqJIiIiItKWjhw5QmRkJACRkZGUlZUBUFJSQlpaWlO96OhoSkpK8Pb2Jjo6+pLyxn369OkDOFYr6dmzJxUVFYSFhV1wzLNnzzJ16lTWrFnDwIED2/T8zqfEWNpN/alzVL1dRM3uSnz6BxNyV388A7u5Oyy5iGdANwLHRhNwyw3Ulpzi9JYjnNlWTvX2cjyDfOie0pvuyb3x7NH2750xhri4OPr168fOnTtZtWoVb775JjExMUyYMKFdhtWIiIiItJcPPviAw4cPt2qbvXv3ZtKkSa3apqueXmNMs+Ut7XMxb29vRo8ezfz583n++edbIdoro6HU0i5q9lRy5Lmt1HxZRc/b+xE2O1FJcQdnjKFbdCDBU+OI+rdUQu4ZiFeYHyc+PEBpzkYq/rqTmqIqbEPbT9jl4eFBUlISP/nJT/j+979PZWUlr732Gm+++WbTnUsRERERaV0RERGUlpYCUFpaSnh4OODoCT548GBTveLiYqKiooiOjqa4uPiS8ov3qaur4/jx4y6Hb3t4eLBkyRI2bdrEL3/5yzY7t4t1yh5jY0w68H+BHcBia+0atwYkzbLWcvLjYk7k7ccrwp9e/zAY797d3R2WXCXj7YH/kF74D+lFbfkZTm88zJktR6gurMAz1JeAlEj8R4TjGdC2Nzs8PT0ZOXIkQ4YMoaCggPz8fF566SWGDBnC+PHj6dlTE7eJiIhI59XaPbvf1pQpU8jNzSU7O5vc3FymTp3aVD5z5kwee+wxDh06RFFRESkpKXh6ehIYGEhBQQGpqaksWLCAhx566IK2Ro0axdtvv82tt97a7KNx/v7+vPvuu4wdO5aIiAjmzp3b5ufaYRJjY8xrwGSgzFqbdF75bcDzgCfwqrU2B7DAKcAXKHbRnHQAtt5y7J0vOb3hMH5DehFyZ7xb18uV1uHdy5+g7/ej53f7Ur3jKKcKSjn+wT6Of7gfv6QwAlIj6Rbbo02fAe7WrRvjxo1jxIgRrFu3jo0bN/LFF1+QmprKLbfcojWQRURERK7CPffcw5o1azh69CjR0dE89dRTzJ07l+zsbKZPn878+fOJiYnhrbfeAiAxMZHp06czaNAgvLy8ePHFF/H0dHzPf+mll5g9ezbV1dVMmjSpKdmfO3cuP/rRj4iLiyMkJITFixe3GFNISAh5eXmMGzeOsLCwpqS8rZjmZgJrb8aYcTiS3QWNibExxhPYC2TiSIA3AfcAu621DcaYCOD31tp7W2o7OTnZbt68uU3jlws1nKun8o3d1OyuJDA9mh7f7asZp69jtUdOc3rDYU5vLcPW1OEd2Z2A0VH4D+3VLjdDjh07xurVq9m+fTs+Pj7ccsstpKam0q2bhuuLiIhIx7Zr1y4SEhLcHUan4uqaGWO2WGuTr7XNDtNjbK1da4zpe1FxCvCltfZrAGPMYmCqtXanc3sV4NNuQcoVqT95jqO5O6gtOUXQD24iIC3K3SFJG/OO6E7QlJvocVtfqreXcyq/hKr/r4jjH+xzTNaVFoVXUNv9qQYFBTFt2jRGjx7NypUrWblyJRs3buQ73/kOw4YNa7qDKSIiIiLiyhUlxsaYZGAsEAVUA4XACmttZRvGBnADcPC834uBVGPMD4GJQBDwgqsdjTH3AfcBmrm2HdWWn+HoX3bQcPIcoT8ahN8gLcXUlXh086T7yN74J0dw9uvjnP70ECc/Lubk2mL8EsMIGBXVpsOsIyIimDlzJgcOHGDFihW8++67rF+/noyMDBISErTEk4iIiIi41GJibIyZDTwM7AO2AHtwPNd7C/CEMaYQ+Hdr7TdtFJ+rb7HWWvvfwH+3tKO19hXgFXAMpW6D2OQiZ/cfp2LBTjCGXvfdTLc+ge4OSdzEGIPvTUH43hREXVUNpwpKOb3xMNVfHG2XYdY33ngjc+bMYc+ePaxcuZIlS5Zwww03MGHCBGJjY9vkmCIiIiLSeV2ux7g7MMZaW+1qozFmKBAPtFViXAz0Oe/3aOBQGx1LvoXqwqNULN6NV5AvYf87Ea9QP3eHJB2EV7AvQZNi6ZERQ/W2ck42DrPO20f3tCgCRkW2yWzWxhgGDhxI//792b59O6tXryY3N5ebbrqJCRMmNC1WLyIiIuJu1lqNbLtCbTVHVoeZfAvA+Yzxu+dNvuWFY/KtDKAEx+RbM621O66mXU2+1baqd1dSsWAn3aIDCM1KxLO7t7tDkg7MWsvZr49zal0JNbsqwcvQfXgEAWNvwLtX280mXVtby6ZNm1i7di01NTUMHjyY8ePHu1w/T0RERKS97Nu3j8DAQEJDQ5UcX4a1loqKCk6ePHnJKMBvO/nWNSfGxpj/sNb+4loP7KK9N4F0IAw4AjxprZ1vjPke8ByO5Zpes9Y+c7VtKzFuO2f3H+fo/EK8wv3p9ePBePh2mPncpBOoLTvDqXUlnN56BOosvgkhBI69gW6xPdvsfwzV1dXk5+dTUFBAQ0MDycnJjBs3joCAgDY5noiIiEhLamtrKS4upqamxt2hdAq+vr5ER0fj7X1hZ5w7E+NvrLWdYlYrJcZto/bwacpe/hzPAG963X9zmwyHla6h/tQ5Tq0v5XTBIRpO1+EdHUDg2BvwS+qF8WybBPnEiRN8/PHHbN26FW9vb0aNGsXo0aPx8dFE9yIiIiKdTZsmxsaYE81tAvystZ2ie1CJceurq6yh7KXtYCD8gSF4Bfu6OyS5Dtjaek5vLePUJyXUHa3GM8iHgDE30D0lAg+ftvnn5ujRo6xatYqdO3fi7+/PuHHjSE5OxsurU/zzJiIiIiK0fWL8DTDSWnvExbaD1to+LnbrcJQYt676k+cof3k79WfqCL//Zrwjurs7JLnO2AZLze5KTn5SzLl9JzC+XgSMiiRgTFSbjUwoLi5mxYoV7N+/n+DgYG699VYSExPx8PBok+OJiIiISOtp68T4aeAda+1GF9t+Za194loP3J6UGLeehpo6yl/5nLryasL+YTA+N/Zwd0hynTt38CQn1xZTXXgU4+WBf3IEgWOj8Qpp/VEK/z979x0e5XXmffw7o5E0KqPeuzC9SCCqQIAQSODeHZckjjeJ08u+KZvEye6mON7E6dXrZO00x70nBiQhmgABoncEqPc6Gs1o+nn/EHFI4jjwaDSjcn+ui8uWhJ5zkyBZvznn3LdSigsXLlBZWUlnZydpaWmUlpbKiCchhBBCiHEuYHeMJxIJxr6hXF66nzqJs3GQhAfnYpwl3XyF/7i6bVh2tmA70gVKEZ6fhKk4Y0xOLHi9Xo4fP05VVRWDg4NMnz6d0tJSkpOTfb6WEEIIIYQYPb8HY51O999Kqf/WumAgSDAePeVR9D5zBvvpXuLunUX4wqRAlySmKLfZwdDuVqz721Eu70gn63WZhGb5/vSCy+XiwIED7N69G7vdzsKFC1m3bh3R0dE+X0sIIYQQQmgXiGB8WClVoHXBQJBgPDpKKfpfrsNW20nMzdOIXJUe6JKEwGN1MbS3Deu+Nrw2N6HTojEVZxI6I8bno55sNhvV1dXs378fnU7H8uXLKSoqIiwszKfrCCGEEEIIbQIRjI8opRZpXTAQJBiPzuD2Jga3NmIqySS6LCfQ5QjxN7wOD9YDHQztbsEz6CQ4PRLT2gzC5ieg0/s2IA8MDFBVVcXx48cxGo2sWbOGZcuWSQdrIYQQQogAC0Qw1iulvFoXDAQJxto5Gsx0P3mcsAWJxN07y+c7cUL4inJ7sR3pwrKzBXfPMIbEMEzFYSklhgAAIABJREFUmYQvTPL5LOSOjg4qKiq4ePEi0dHRlJSUsGDBAulgLYQQQggRIH4JxjqdLhf4FJADvL01opS6RevC/iTBWBuvzUXnT46AXkfypxehN8qumBj/lFcxfKoHS1UzrnYrQXFGooozCS9IQmfwbXC9ePEiFRUVdHR0kJKSQmlpKdddd51P1xBCCCGEEP+av4LxMeD/gBPA27vFSqmdWhf2JwnG104pRd8fzjB8po+kj+UTkmkKdElCXBOlFPYzfQxWNeFqGSIoJhTT2gwilqSgC/ZdQPZ6vZw8eZKqqioGBgaYNm0apaWlpKam+mwNIYQQQgjx7vwVjPcrpZZrXSTQJBhfu6GaNgZeu0j0DbmY1mQEuhwhNFNK4Tjfz2BVM87GQfRRIZjWZBCxLAV9SJDP1nG73Rw8eJBdu3YxPDxMXl4eJSUlxMTE+GwNIYQQQgjxzvwVjO8HZgDlgOMv71dKHda6sD9JML42znYrXT8/Qui0GBI+MM/nDYyECASlFI6LZga3NeGsN6OPDMa0OoOIFanoQ30XkIeHh9mzZw81NTUopVi2bBmrV68mPDzcZ2sIIYQQQoi/5a9g/BjwPuAifz1KrZRSJVoX9icJxlfP6/TQ9bMjeIfdJH+mgKDIkECXJITPOerNDFY14agbQB9uILIonciVaT69R282m9m+fTtHjx7FaDRSVFTE8uXLCQ4O9tkaQgghhBBihL+C8VkgTynl1LpQIEkwvnr9L9dhre0g4d/mY5wRG+hyhBhTjqZBLFXN2M/2oTMaiFyVhmlVGvpw34XXzs5OKisrqaurIyoqinXr1pGfny8drIUQQgghfMhfwfh54FNKqS6tCwWSBOOrYzvWTd+zZzEVZxK9KSfQ5QjhN84WC4NVzdhP96ILDRoJyEXpPg3I9fX1VFRU0NbWRlJSEqWlpUyfPl1GoAkhhBBC+IC/gvEOIA84yN/eMZZxTZOEu89O548PE5wcTuJH8tAFyW6WmHqc7VYs2xoZPtmLzhiEqSidyKJ0nx2xVkpx6tQptm3bRn9/Pzk5OZSWlpKenu6T5wshhBBCTFX+CsZr3+n9Mq5pclAeL11PHMfdbSP50wUY4oyBLkmIgHK2DTFY2TSyg2w0YFqdTuQq391BdrvdHDp0iJ07d2Kz2Zg/fz4lJSXExcX55PlCCCGEEFONX4LxRCfB+N0NbK5naGcLcQ/MJnxBYqDLEWLccLYOMVjZiP1MH7qwKwJyqG8Cst1uZ8+ePezbtw+v18vSpUtZs2YNERERPnm+EEIIIcRU4a8dYwvwl98YAgQDVqVUlNaF/UmC8T9nP99Pz1MniViWQuwdMwJdjhDjkrPFMrKDfLZvpIv1mgwiC9N8NuZpcHCQHTt2cOTIEUJCQli1ahUrVqwgJES6wgshhBBCXI2A7BjrdLrbgGVKqa9oXdifJBi/M4/FSeePD6OPCCbpEwvRh/hulqsQk5Gz2TKyg3yuH32EAdOaDCIK03z2tdPV1cW2bds4d+4cJpOJdevWsXDhQulgLYQQQgjxL4w2GGv6aUsp9RowIWYYi3/O/FY9Xrub+PtmSygWmj3zzDPk5OSg1+vJycnhmWeeCXRJYyYk00TCQ/NJ/Hg+wekmzJsb6PjuQSy7WvA6PaN+flJSEvfddx8PPfQQ0dHRvPHGGzzxxBPU1dUxFa69CCGEEEIEytUepb7jijf1wBJgrVKqcKwK8yXZMf5HjqZBun9xTEYziVF55plnePjhh7HZbG+/Lzw8nCeffJIHHngggJX5h6NxkMGKRhwXBtBHBmMqziRyeQq64NG/0KSU4vTp01RWVtLf309ubi6lpaWkpaX5oHIhhBBCiMnFX3eMn77iTTfQAPxqosw1lmD8t5RSdP/yGO5+OymfX+KzRkJi8nE7nVh6u7H09mAfsmC3WnFYh3DYrDhsVu7/wiN09fX/w+clx8fx8i9+jCEklBCjkbCoaMKjYgiPiiI8OgajyYReP3lOKTgazCMB+aIZvSmYqOJMIpanojOM/gi02+2mtraWnTt3Mjw8TF5eHiUlJcTExPigciGEEEKIyUG6Ul8FCcZ/y3a0i77nzhF71wwilqQEuhwRYEopLL3d9DQ30tvcRG/LyC9zdxfDg+Z3/BydXk9oeASffOq5f/rc773nJvgn31/0QUGYEhKJTkwmOimZ6KQUopOSic/IIjYtA0NwsE/+bP7muDSAuaIRZ/0gQTGhRK3PIrwgGV2QbtTPHh4eprq6mpqaGgBWrFhBUVERYWFho362EEIIIcREJ8H4Kkgw/iuv00Pn92vRR4aQ9ImF6PSj/4FdTCwet4vOSxdpO3/m8q+zWPv73v54RGwc8RlZxCSlYEpIJCohkci4BMKiojBGRBIaEUFwqBGdTkdOTg6NjY3/sEZ2djb19fV4XC6cwzaGLYPYzAPYBs3YzAMM9fdh7upksKsTc3cnNvPA25+r0+uJTUkjITOb+MxsErNySL5uBqb4BHS68f/3VSmF48IA5vJGXM0WDPFGokqzCctL9MnX28DAANu3b+fYsWOEhYWxZs0ali5disEgJz+EEEIIMXVJML4KEoz/ylzRiGVbE4kfzSM0JzrQ5Qg/sQ70U3/0EJcOH6Dx+BGcw8MARCclkzZzDqkzZpGYM434jCzCIk1X/Vxf3TF22e0MdHWM7FY3N9Jz+ddAZ8fbu84RsXGkXDeT1OkzSZk+k5TrZhAaPn7n/SqlsJ/pY7C8EVeHFUNyONGl2Rjnxfsk4Le3t1NRUcGlS5eIjY1l/fr1zJs3b0K8eCCEEEII4WsSjK+CBOMR7gEHnd+vxTgnjvj75wS6HDHGLH09nN2zi/M11XRcrAOliIyNI7dgKTn5BaTNnENkbNyo13nmmWd45JFHaGpqIisri0cffdRnjbdcDjvdjQ10XKyj4+J5Oi6cp7+9FQCdTk9S7jQy5i4gc+4C0mfPxRgR6ZN1fUl5FcMnehisaMTdM0xwRiTRZTmEzogZdYhVSnHhwgUqKiro6uoiPT2dsrIysrOzfVS9EEIIIcTEELBgrNPpHlJKPf2vf2fgSTAe0fvcWYZP9pLyucUYYo2BLkeMAbfTybl9uzm9q4qmU8dBKZKnzWD6kuXkFiwlKWfahN9RHB6y0HmxjrbzZ2g5fZK2urN4XK6/Cco5+QVkzJk/ru4qK4/CdqSTwcomPAMOQnKiRgLytNGf3PB6vRw7doyqqiosFguzZs2itLSUhIQEH1QuhBBCCDH+BTIYNymlsrQu7E8SjEfGynT/8himkkyiy3ICXY7wMXNXB8cqNnNiewV2yyAxyanMWV3MnKJiYlPTA13emHI7nbTXnaX59AmaT5+g/fxZPG43htBQsublkbtwCbmLFhOdND4azSm3F+vBDgarmvFanITOiCG6LIeQzKs/wv7POJ1OampqqK6uxuVysXjxYoqLi4mMHH876UIIIYQQvjSmwVin0x3/Zx8CZiqlQrUu7E9TPRgrr6LrF0fxmJ2XxzNNnjE5U11XwyX2v/I85w/sRafTMX3JChZuvJHMeXkTfmdYK5fdTvPpE9QfraX+SC3mrk4A4tIyyF20hOnLCkmbOTvg46K8Tg/WmnYsO5rx2twY58YTXZZNcMro700PDQ2xc+dODh06hMFgYNWqVRQWFhISEuKDyoUQQgghxp+xDsadwEbg7weV6oC9Sqk0rQv701QPxtZDnfS/eJ7Yu2cSsTg50OUIH2ivO0fNK89x6fBBQsLCWbjxRhaW3YgpXo7OXkkpRX97K/VHDlF/tJaW0yfwuN2ER8cwfekKZixbSea8BQQZAnfk2utwM1TdhmVXC8rpISwvkagNWQQnho/62T09PVRWVnL27FlMJhPr1q1j4cKF6PWjn68shBBCCDGejHUw/j/gaaVU9Tt87I9Kqfu1LuxPUzkYex0eOr5fS1BUCEkfl/FME11fWyu7//g0Fw7WYDRFsfj6W1i46aZx2XRqPHLYbNQfraXuwD7qDx/E5bATGhHBtIJlzFhWSO7CJRgCtKvqtbmw7GplaE8ryuMlvCCZqPVZPukH0NjYSEVFBS0tLSQlJVFaWsr06dOn7KkCIYQQQkw+0pX6KkzlYGwub8BS1Uzix/IJzY4KdDlCI9ugmX0vPcvxys0EBYew7Na7KLjhFkKMYYEubcJyOR00nThK3f59XDy0H/uQhZCwcGYsW8nsorVkzctDH+T/49YeixPLjmaG9reDgohlKUSVZBFkGl1gV0px+vRpKisr6e/vJzc3l9LSUtLSJsTBHyGEEEKId+X3YKzT6R5WSj2pdcFAmKrB2N1vp+P7hwibF0/8fbMDXY7QQHm9HKvcQvWzv8U5PEzeho0U3nU/ETGxgS5tUvG43TSfPsHZPTup278X57CN8OgYZhWuZvaqtaTOmOX33VX3gANLVRPW2g50QXoii9IxrclAH2YY3XPdbmpra9m5cyfDw8Pk5eVRUlJCTEyMjyoXQgghhPC/QATjw0qpAq0LBsJUDca9fzyD/UwfyZ9bgiFmQvRJE1fobWmm/Mmf0nbuNFnz8yl56CPEZ0yIRvATmtvppP5ILWf27ODS4YN4XC6ik1OYvXIt89aW+L3Lt6tnmMGKRoaPdaMLMxBVnEnkylR0waPbzbbb7VRXV1NTU4NSiuXLl7N69WrCwuQUghBCCCEmnkAE4yNKqUVaFwyEqRiMHQ1mup84jml9FtGl2YEuR1wDj9vFgddfYv8rzxMcaqT4wQ8zd02J3AcNAIfNSt2BfZzds5OmE8dQykv67LnMLy5lZmGRX4+yO1uHMG9twHG+H31UCFHrs4hYkowuaHSNtAYGBti+fTvHjh0jLCyMNWvWsHTpUgyG0e1MCyGEEEL405gHY51OpwfuUkq9cPntDKVUi9YFA2GqBWPlVXT9/Chei5Pkzy9BHyLjmSaK/vZW/vTj79JVf5FZK9ew7sEPy7HpcWKor5dTu6o4taOS/vZWgkONzCwsYn7xBtJnz/PbCxeOSwOYtzTgbLJgSAgjqjSbsAUJo26s197eTkVFBZcuXSI2Npb169czb57//lxCCCGEEKPhlx1jnU63Sym1RusigTbVgrG1toP+l+qIe88swhclBboccZXO7N5Oxa9/QZDBwMaPfobpS1cEuiTxDpRStJ0/y6kdFZzduxuXfZiYlFTmF5cyb+16IuPi/VKD/Uwf5q0NuDttBKdFEL0xh9CZsaMOshcuXKC8vJyuri7S09MpKysjO1tOnQghhBBifPNXMP4aMAw8D1j/8n6lVJ/Whf1pKgVjr8NNx/dqMcQaSfxYvuz2TAAuu51tTz3BqZ2VpM+ex42f/oLMI54gXHY75/fv4eSOClpOn0Sn1zN9yQrySq8ne34+ujGeF6y8CtuxbgbLG/D0OwjJjSZ6U86oO9B7vV6OHTtGVVUVFouFWbNmsWHDBhITE31UuRBCCCGEb/krGNe/w7uVUmqa1oX9aSoFY/OWBiw7mkn8eD6hWTKeabzra2vh9ce/RV97KyvuuJfCO+8NyIggMXr9HW2c2LaVk9srGLYMEpOcSt6GTcwr3kB4VPSYrq3cXqwHOhisasI75MI4J47ojTkEp0SM6rlOp5Oamhqqq6txuVwsXryY4uJiIiNlbrYQQgghxheZY3wVpkowdg846PjeQcIXJBL3nlmBLkf8C40njvLmDx8jyBDMjZ/+Ilnz8wJdkvABt8tF3YG9HK/YTMuZkwQZDMxYvor80uvH/C6y1+FhaE8rlp0tKKeH8IVJRJVmY4gzjuq5Q0ND7Ny5k0OHDmEwGFi1ahWFhYWEhIxutrIQQgghhK/4a8f4bmCLUsqi0+m+ChQA31RKHdG6sD9NlWA8sLmeoV0tpHxh6ah/EBZj6/i2LWz7v18Sl5bBbV/8T6KTkgNdkhgDPc2NHK/cwuldVThsVuLSM1m48UbmrSkhJCx8zNb1WF1YdrYwtLcNlCJyeSqmdZkEmUYXZHt6eti2bRtnzpwhMjKSdevWsWjRIvRjfGRcCCGEEOJf8VcwPq6UytPpdEXAY8D3gK8opZZrXdifpkIw9jo9tD92AOP0GOIfmBPocsQ/4fV62PWHpzn059fIWbiYmz7zH4SGj11AEuODy27n7L5dHCvfTOelOkLCwllQUsrCspuISUkds3U9ZgeD25qw1nagM+iJLErHtCYDvXF0o5iampooLy+npaWFxMRESktLmTFjhvQ0EEIIIUTA+CsYH1FKLdLpdI8BJ5RSf5xI84ynQjAeqmln4LULJH40j9Ccsb3PKLRx2e38+aePc7F2P4s23Uzx+z8k94mnGKUU7XXnOLLlTc7XVOP1eplWsJSC628ha/7YNctzddsYrGhk+HgP+nADpuJMIgtT0QVr//unlOL06dNUVlbS399Pbm4upaWlpKWl+bByIYQQQoir469g/CegFdgALGakQ/UBpVS+1oX9abIHY+VVdP7wELqQIJI+uVB2bcYhu3WIV7/zDdrPn2XdQw+zaONNgS5JBJilr4fjFZs5VrmF4UEz8RlZLNp0M3NXryPYODZXIZytQ5i3NuA4309QVAimDVlELE5BF6T9e4bb7ebQoUPs2LGD4eFh8vLyKCkpISYmxoeVCyGEEEK8O38F43BgEyO7xXU6nS4VWKCUKte6sD9N9mBsP99Pz1MniX3PLCJkbvG4YzMP8NK3/5Pe5iZu+NTnmVVYFOiSxDjidjo5t283h996g66GixgjIplfUsaijTcRlTg2X8/2iwMMbm3A2WTBkBhG9MYcjPPiR/Wimt1up7q6mpqaGpRSrFixgtWrV2Mco5AvhBBCCHEl6Up9FSZ7MO5+6iSu9iFS/2MZOoM0wRlPrAP9vPD1LzPY080tn/sKuQsXB7okMU4ppWg9d5ojm9+k7sBeAGYVrmbJTbeTPG36mKxnP92LeUsD7u5hQrJMRF+fS2ju6K5imM1mqqqqOHbsGGFhYRQXF7NkyRKC5NqAEEIIIcaQBOOrMJmDsavLRucPDhFVmk3U+qxAlyOuYB3o58VvPoK5u5M7vvTfZM5dEOiSxAQx2NPNkS1vcrxyM87hYTLn5bHk5tvJzV+MzscdoJVHYTvUibmyEe+gE+PsOKI3jX4GcltbGxUVFdTX1xMXF0dpaSmzZ8+Wqx5CCCGEGBMSjK/CZA7G/a9dwHqwg9QvLyMoUmaKjhc28wAvfOMrEorFqDhsVk5s28qhzW8w1NtDXHomS266nTlFxRh8PEPY6/QwtLcNy45mlMND+KIkosqyMcRoPwqtlKKuro6Kigq6u7vJysqirKyMjIwMH1YuhBBCCCHB+KpM1mDstblof+wAYXmJxN09M9DliMscNivPf/3L9Le1cvt//BdZ8/MCXZKY4DxuN+f37ebgn16lu+ES4dExLNp0M/ml1xNmivLtWlYXlp3NIzOQgcjCNEzFmQRFBGt/psfDkSNH2L59O1arlXnz5rFhwwZiY2N9VbYQQgghprgxDcY6nS4TeBxIBzYDjyulXJc/9ppS6jatC/vTZA3Glp0tmDfXk/TpRYSkRQa6HAG4nA5e+fZ/0Xb+LLd98Wtyp1j4lFKKppPHqP3TqzQcPYQhNJT5xaUsvvE2YpJTfLqWe8DOYEUTtsOd6EKDRkY8rUxDH6L9rrDD4WDPnj3s3bsXpRTLli1jzZo1hIWF+bByIYQQQkxFYx2MK4CXgRrgg4yMarpZKdUrc4wDS3kUHY8fxBBnJPFh2ZEcD7weD69//1EuHT7IjZ/6PLNXrQ10SWIS62lqoPZPr3GmegfK62VmYRHLbr2LpJxpPl3H1WHFvKUB+9k+9FEhRG/IJnxx8qhGPA0ODrJ9+3aOHDmC0Whk7dq1LF26FIPB4MPKhRBCCDGVjHUwPqqUWnjF2+8FvgzcAryolCrQuvBo6HS624AbgSTg5/9qbNRkDMa2E930PXOW+PfNJWxefKDLmfKUUlQ8+VNOVJWz/oMfZ2HZDYEuSUwRQ329HN78Bscq3sI5PEzuoiUsu+1uMmbP8+k6jktmzFvq/zriaVMOxrmjG/HU0dFBRUUFFy9eJDY2lg0bNjB37lxp0CWEEEKIazbWwfgUsFgpZb/ifRuAJ4AIpVSq1oXfYa2ngJuALqXU/Cvevwn4MRAE/Fop9T9XfCwW+J5S6oPv9uzJGIy7njiGZ9BJyueXoNPLD5GBduD1l9j9x9+w/Pb3UHTv+wJdjpiC7ENDHC3/M4ffep1hyyDps+ey7La7yV24xGdBUymF/VQv5q1XjHi6IZfQnNGNeLpw4QLl5eV0dXWRkZFBWVkZWVnSZV8IIYQQV2+sg/G/A4eVUjv/7v2LgO8qpUq1LvwOa60BhoDf/SUY63S6IOA8UAq0AAeB+5RSpy9//PvAM0qpw+/27MkWjJ0tFrp+dpTom6ZhKkoPdDlT3vmaat784f8wq3A1N376Cz4fpyPEtXA57JyoKqf2zVex9HaTmJ3LslvvYmZhEXq9b2YJK4/CeqiDwYomvBYnxjlxRG8c3Ygnr9fL0aNHqaqqYmhoiDlz5rBhwwbi4+VEjBBCCCH+tUnVlVqn0+UAf7oiGBcC/62U2nj57S9f/q3/c/lXhVKq8l89d7IF477nzzF8qpfUryxDb5Q7eYHUceE8z//3l0jMncY9X/u2z0foCKGVx+3iTPVODr7+En1tLcSkpLL0ljuZu2Y9hmDtHaav5HV6GNpzecST00N4QTJRpdkYYkI1P9PpdLJ371727NmDx+Nh6dKlrF27lvDwcJ/ULIQQQojJye/BWKfTHR6ru8XvEIzvAjYppT50+e33AcsZ2UV+kJEd5KNKqSfe4VkPAw8DZGVlLW5sbByLkv3OM+ik/TsHiFyeSswt1wW6nCnNOtDPH778WfRBQTzw7R8SHjW646RCjAXl9XLhYA37X3uRzkt1RMbGsfjG28grvZ4Qo2+6QXusLizbmxna1wY6iFyZTlRxBvpw7QHcYrGwY8cODh8+TEhICGvWrGHZsmUE+yjUCyGEEGJyCUQwHrNu1O8QjO8GNv5dMF6mlPrUtTx3Mu0Ym8sbsGxvJuVzSzAkyIiTQPG43bz0ra/ScbGO+775uM87AQvha0opGk8c5cBrL9J86jjGSBOLb7iVRdffTGi49iPQV3L32xmsaMR2pAtdqAFTcQamVWnogrUf4e7q6qKiooK6ujqio6PZsGED8+bNQy9XFoQQQghxhdEGYy3ncP+sdTENWoDMK97OANr8uP64olxerPs7MM6Ok1AcYDv/8H+0nDnJDZ/8nIRiMSHodDpy8haRk7eI9rpz1LzyHHte+AO1f3qVghtuoeD6WzFGjm4euiHWSNw9szCtycC8pYHBLQ1Y97YRVZpNeIG2EU9JSUk88MADXLp0ifLycl5++WX27dtHWVkZOTk5o6pXCCGEEOIvrmnHWKfTRXFFmFZK9fm0mH/cMTYwcmx6PdDKyNHp+5VSp67luZNlx9ha20H/S3UkfGg+xumxgS5nyjq9ezubf/Z9Cq6/hXUfeDjQ5QihWeelC9S88jwXDu4jJCyMRZtupuCGW312LcBxaQDz5gaczRYMSWFEb8zFODdOc5dsr9fL8ePH2bZtGxaLhdmzZ7NhwwYSEhJ8Uq8QQgghJi6/HKXW6XQfAb4BDANeQAcopZTPtsp0Ot2zQDGQAHQC/6WU+j+dTncD8CNGxjU9pZR69FqfPRmCsVKKrp8cQXkVyZ8tkDmfAdLX1sIfvvRZknKv4+6vPUqQQZqfiYmvu7Gemldf4HxNNcEhoeSX3cCSm24nImb0L8C9PeJpSwPunmFCsqNGRjxlR2l+ptPppKamhurqalwuF0uWLKG4uJiICN8cCRdCCCHExOOvYFwHFCqlerQuFEiTIRjbLw7Q86sTxN45g4ilKYEuZ0pyO5388aufw9LXy/u/8xNM8bJLJSaX3pYm9r/6Amf37CIoOJi8DZtYevMdRMaNfmSS8iistR0MVjbitbgImxdP1KYcghO1d5seGhpi586d1NbWEhwczOrVq1mxYoU06BJCCCGmIH8F4y3AHUopm9aFAmkyBOOe353G2WAm9cvLRtXIRmi37aknOLr1T9z2xf/kusXLAl2OEGOmv72V/a++yOndVeiDglhQUsbSW+4iKiFx1M/2Oj0M7W7FsrMF5fYQsSyVqPVZBJm0jzrr7u6msrKSc+fOERUVxfr161mwYIE06BJCCCGmEH8F40XA08B+wPGX9yulPq11YX+a6MHY3TtMx/dqMRVnEr0xJ9DlTEl1B/fxxvceZfGNt1L8/g8Huhwh/GKgs4MDr7/IqR3bAJi/bgPLbr2b6KTkUT/bY3EyuK0J64F2dIYgTGvSiVydgT5U+wt/9fX1lJeX097eTmpqKmVlZeTm5o66ViGEEEKMf/4KxgeAauAEI3eMAVBK/Vbrwv400YPxwJ8uMbS3jdQvLSUoKjTQ5Uw5Q/19/PbznyA6KZl7v/E4BjmmKaaYwZ4uDrz+MiertqKUYt7a9ay4416iEpNG/WxXt43BLQ0Mn+pFbwomakM2EUtSNHWwhpEGXSdPnmTbtm2YzWZmzpzJhg0bSEoafa1CCCGEGL/8FYz3KqVWal0k0CZyMPba3bQ/dgDjnDji750d6HKmHKUUr333GzSdPM77vvNj4tIyAl2SEAFj6evh4Osvc7xyM0qN7CAvv/09Pjli7WgcxPxWPc7GQQyJYURvGl0Ha5fLxf79+9m9ezdOp5OCggLWrVtH5ChHUgkhhBBifPJXMH4UaATe5G+PUvt0XNNYmcjB2LKnFfObl0j6xEJCMk2BLmfKOVFVTvn//oR1H3iYgutvCXQ5QowLlt4e9r/2Iie2bUWngwXrN7LstrsxxY2uIZ1SCvvpXsybL3ewzrncwTpLewdrq9XKrl27OHjwIAaDgVWrVlFYWEhIiPY7zUIIIYQYf/wVjOvf4d0+Hdc0liZqMFZeRce2fZnuAAAgAElEQVT3awmKCCbp4wsDXc6UY+7q5Ldf+CQp06Zz99ceRSeNfIT4G4M9Xex/5QVO7qhAp9eTt2ETy269m8jYuFE9V3m8WA92jnSwHnIRtiCBqI05BCeEaX5mb28vlZWVnDlzBpPJRElJCfn5+dKgSwghhJgk/BKMJ7qJGoyHT/fS+7vTxN03m/D80R9VFFdPeb28+K2v0nGxjgcf/5lPmg0JMVmZuzqpeeV5Tu2sJCjIQH7Z9Sy95a5Rz0H2OjwM7W7BsqsF5VZELE8Z6WAdqX23t7GxkfLyclpbW0lOTqasrIzrrrtuVHUKIYQQIvAkGF+FiRqMu399Ane3jZQvLkUXJLsa/nR065/Z9tQvKX34U+St3xjocoSYEAY62ql55XlO764iyBDMwo03svTmOwiPjhnVcz0WJ4OVjVgPdox0sF6bQeTqdPQh2jpYK6U4deoUlZWVDAwMMH36dEpLS0lOlhfAhBBCiIlKgvFVmIjB2NVhpfNHh4nalENUcWagy5lShvp6efr/fZSU6bO465Fvam7+I8RU1d/eSs3Lz3GmeidBIcEs2nQzS266nfCo6FE919Vtw7ylAfupXvSmEKJKs4hYrL2Dtdvt5sCBA+zatQuHw8HChQtZt24dUVHa7zQLIYQQIjAkGF+FiRiM+1+uw3a0i9QvL0MfLuOB/OmNH3yb+sO1PPi9nxOTkhrocoSYsPraWtj30rOc3buL4FAjBdffzOKbbicscnSNBB0N5pEO1k0WDEmXO1jP0d7B2mazsXv3bvbv309QUBArV65k5cqVhIbKeDwhhBBiohjTYKzT6V5nZH7xXuCgUsqpdaFAmmjB2GN10f7YASIWJxF7+4xAlzOlXDy0n9e++02K7n0/y2+/J9DlCDEp9LY0se+lZzlXU02I0UjBDbey5KbbCQ2P0PxMpRT2U72Yt1zuYJ0bRcwN00bVvb+vr49t27Zx6tQpIiMjWbduHYsWLZIGXUIIIcQEMNbB+CZg5eVfecBZYA8jQXmvUqpT68L+NNGC8eD2Zga3NpD87wUEJ2v/wVFcG6d9mN987uOEGMN433d+TJBBduqF8KWepgb2vvRH6vbvxRgRyZJb7qRg080EG42an6k8XqwHOhjc1jTSwTovgeiNORjitXewbm5upry8nObmZpKSkigtLWX69OlyrUIIIYQYx/x2lFqn0wUBi4Bi4KNArlJKW+cTP5towbjzR4fRGYNI+mh+oEuZUnb87lcc+vPr3PuNx0mfNSfQ5YhJ7plnnuGRRx6hqamJrKwsHn30UR544IFAl+UXnfUX2fP876k/Ukt4dAzLb7ubvA3XYxjFbGGvw41lVytDu1pQHkXkilRMJZmaO1grpThz5gyVlZX09fUxbdo0SktLSU2V6xVCCCHEeDTmwVin0yXw113jFYAROArsU0r9VuvC/jSRgrG7d5iOx2uJvnEaptXpgS5nyuhurOf3//EZFqwvo/TDnwx0OWKSe+aZZ3j44Yex2Wxvvy88PJwnn3xyyoRjgNZzZ9jz3O9oPn0CU3wiK+58D/PWbiDIYND8TM/gFR2sQ4IwFWcQuUp7B2u3201tbS07d+5keHiY/Px8SkpKiI4eXSMxIYQQQvjWWB+lrgPMwMtADSP3jIe0LhYoEykYW3a1YH6rnpQvLsUQp/14obh6Sile/OYjdDc18MEfPYkxMjLQJYlJwO3yYB1w4rC5cFjd2G0uHDY3HpeX6+8vpL2r9R8+JzU5nW2vHCA41IAxMpiwyGCMkcEYI4IJMkzOe65KKZpOHmPPc7+n/cI5YlJSWXnX/cxatQa9XvuhJFfX5Q7Wp3vRR4UQXZpN+OJkdHptx6GHh4ffbtCl0+koLCykqKhIGnQJIYQQ48RYB+MvM7JLnA6cB/Zd/nVEKeXRuqi/TaRg3PXLYyinh+TPFAS6lCmjbv9e3vjBt1n/bx9j4cYbA12OmEA8bi8DnTZ624bobbVi7rJh6bVj6XcwPPjPexV+8n83AO/0vVfHzz5S+Y6fExpuIDLOiCnOiCneiCnWSFSCkdiUCKKTwiZ8cFZKcenwAfY893u6mxqIz8hi1Xvey/SlhaO62+uov9zButmCITmc6OtzMc6K1fzM/v5+qqqqOHHiBBERERQXF1NQUEBQ0IS4WSSEEEJMWv68YzyTkePUhcBqoFsptVbrwv40UYKxx+Kk/dv7iVqfRdSG7ECXMyW4nU6e/n8fI8Ro5H3f+Ql6+eFW/BNKKSy9dtovmum4aKb9kpn+Nite78j3UL1eR1Ri2OXQGoop3khEjBFjZDCh4YaRX2HBGEL0zJoznabmpn9YIzMzi5OHz+K0e7BbXdiHXJf/6cRqdmLps48E7z47LvtfX5vU63VEJ4URlxpBbGoECRmRJGabMMUZJ1zDKOX1cq6mmr0vPEN/eyvJ02ZQ9J73kp1foPnPopRi+GQPg1sacPfaCZ0WTfT1uaPqYN3a2kp5eTmNjY0kJCRQWlrKzJkzJ9z/3kIIIcRk4ZdgrNPppjESildd/mcasF8pdZPWhf1pogTjoQPtDLxygaTPFBCSKt2o/WH/qy9Q/dzvuOur3yJ7wcJAlyPGGafdTcvZfhpP9dJ0qpehPgcAwcYgUnKjSMyOIj49gvi0SGKSw69613a0d4yVUjhsbgZ7hunvsNHfbqWv3Up/hw1z9zDqclg3RgaTlG0iKTuKxCwTKdOiCY/S3uDKn7weD6d3VbHv5WcZ7O4iffY8iu59Hxlz5mt+5tsdrCub8FpH38FaKcW5c+eoqKigt7eXnJwcysrKSEtL01yjEEIIIbQZ66PUrzJylNrMyBHqPYyMaTqtdcFAmCjBuOfpk7i6h0n5whLZdfCDob5envrsR8jOW8Stn38k0OWIccI57ObSsW7qDnbScrYfr0cRbAwic3YcGbNjSbkumvj0SPQa76r+xVh1pfa4vPS2DdHVaKGrcZCuBgt97da3w3JsSjipM2JImx5D2owYTOO8l4Hb5eJE1Vb2v/I81oF+cvILWPWe95FynfYZ7167G8uuFoZ2t6K8f+lgnUVQhLYRbR6Ph0OHDrFjxw5sNht5eXmUlJQQExOjuUYhhBBCXJuxDsa3MBKEe7QuMB5MhGDstbtp+2YNkYVpxNw0LdDlTAmbf/4Dzu3dxQd+8AQxySmBLkcEkNeraDzZy7madhpO9OJxeTHFGbmuIJHsBQmkXhc9oe/wupweepostF8001Y3QPtFM85hNwCmOCMZs2PJnBtH5pw4jBrD4VhzOewcLX+LA6+/hN0yyPSlhay65wESsnI0P9Mz6GCwoglrbQe60CCi1mURuTINXbC2/6/tdjvV1dXU1NSglGLFihWsXr0a4yjmNAshhBDi6ox1MC5SSlW/y8ejgCyl1EmtBfjDRAjGtmPd9D17lsSP5hGaI2NAxlpn/UX+8KXPsOzWu1h9/wcCXY4IENugk9N72ji1u5WhPgdhpmCmL05mxtJkUqZFTdqTG16vord1iLa6AdrqBmg914/D5kang6ScKDLnxJE1N47k3Cj0QePrBQGHzcbht16n9k+v4rQPM3vlGlbd815iUrTPF3Z1WDFvrsd+rp+gmFCiN+YQlp+ouYO12WymqqqKY8eOER4eztq1a1myZIk06BJCCCHG0FgH4x8Cy4EtwCGgm5E5xtOBdUA28Dml1EGtBfjDRAjGvX88g+OSmdSvLNf8w5i4ei8/9l90XDjPh376a0LD5T73VDPQaePQ1kbO7+/A61FkzI5l/pp0cvITCBpnQdAfvB4vXY0Wmk710nS6j66GQZQa6YSdPT+e3PxEsubFEWLUPl/Y14Ytgxx88xWObH4Tr8fNgpKNrLjzXiJj4zQ/035hAPNbl3C1WQlOjyT6hlyM12k/Dt3W1kZFRQX19fXExcVRWlrK7NmzJ+0LLkIIIUQgjXnzLZ1OFwvcxUjjrVRgGDgD/PnddpPHk/EejJXbS9s3awjPTyT2Du335sTVaT59ghe+/mXWPPAQS2+5M9DlCD/qaRni0JYGLh7qQm/QM3dlKgvWZRCbIi+OXMludY00HTvRQ8OJXuxWF3qDjszZceTmJ5CTl0BE9PiY3zvU30fNy89xomor+iADBTfcwtJb7sQYoW0eufIqbEe7GNzaiMfswDg7jujrcwhO1vZ3RClFXV0dFRUVdHd3k5WVxcaNG0lPT9f0PCGEEEK8M7+Na5rIxnswHj7XR+/Tp4j/wDzCZmvf7RD/mlKKZ//zC1i6u/i3n/yK4JDx8cO9GFvm7mFqXrvIhUNdBIcGsaA4nfz1WROmQ3MgeT1eOi6ZuXS0h/pj3Qz22EEHKblRTF+czPTFSUTEBP7raKCjnT0v/IGze3YSGhHBslvvZtGmmwgO1Xa/V7k8WPa0YdnejHJ6iFiaQtSGbII0/p3xeDwcOXKE7du3Y7VamT9/PuvXryc2NlbT84QQQgjxtyQYX4XxHoz7X6nDdqybtK+tQDeBG/xMBBcP7ee1736T0g9/krwNmwJdjhhjdquL2rcaOLGjBb1eR/6GTBZuyBq3DabGO6UUfW1W6o91c+FwN70tQ6CDtOkxzFiazHWLEgkzBfbFhq6GS+x5/vdcOnyQiNg4Cu+8j/nrSgkyaDsG7rG6sGxrYqimHZ1Bh2lNBpGrM9CHarsv7HA4qK6uZt++fW836CoqKiIsTNvIKCGEEEKMkGB8FcZzMFZeRfu39xM6LZr4++cEupxJzev18PsvfhqP28WD3/uF5h+UxfinvIoz+9rZ+/IFHMNu5hSmsuzmaUTGBn5nczLp77BSV9vFhdpO+jts6PQ6MmfHMn1JEtMWJREaFrivsZYzJ9n97O9oO3eamJRUVt3zXmYVrkan1/bio7tnGPPWBoZP9KA3BRNVmk3E4hR0QaNv0BUWFkZxcbE06BJCCCFGQYLxVRjPwdjRYKb7iePE3TeL8PykQJczqZ3evZ3NP/s+N37mi8xeuSbQ5Ygx0tduZcczZ2m/YCZ1ejRr7p1FQoa2+6bi6iil6G21UlfbyYXaTgZ77AQF65mWn8CswlQy58SNeu6z1rrqj9Sy+9nf0tPUQGLONFbf9yA5+QWaG2A5Ggcxv1WPs3EQQ1L4SIOuWbGan9fe3k55eTn19fXEx8dTWlrKrFmzpEGXEEIIcY3Guiv1F5VS373873crpV684mPfVkp9RevC/jSeg/HAny8xtLeNtK+tQD+OOr5ONh63i6f//aOEhEfwvsd+pHnXSIxfHo+XQ281cGhLI8GhQay8czpzClOly7ufKaXoarBwrqad87WdOKxuwqNDmLUshVmFKcSn+f9FCuX1cnbPTva88AfMXZ1kzJlP0X0Pkj5L2ykdpRTDJ3sZ3FKPu9dO6LRoom+cRki6xoZflxt0lZeX09PTQ3Z2NmVlZdKgSwghhLgGYx2MDyulCv7+39/p7fFsvAZjpRQdj9cSnBhGwkPzA13OpHZ821Yqnvwpt3/pv5i2aGmgyxE+NtBpo+KpU3Q1WpixNJmiu2dIY61xwOPy0nCyh7P7Omg82YvyKhKzTMwuTGHm0hSMkf696+1xuzixrZx9Lz+LzTzAdUuWU/Se95GQlaPpecrtxbq/ncFtTXhtbsIXJRFVlo0hVlvDL4/Hw+HDh9m+fTs2m40FCxawfv16YmK0j4wSQgghpoqxDsZHlFKL/v7f3+nt8Wy8BmNnu5WuHx8m5o7pRC5LDXQ5k5bX4+Gpf/8IxggTD3z7B3JEcRJRSnFqdxt7XqojKFhP8f2zmb5YriSMR7ZBJ3UHOzlb005P8xB6g47rFiUxb3UaaTNi/Pp16bLbObz5DQ6+8TKOYRtzi4pZec8DRCelaHqe1+7GsqMZS3UboIhclU5UcSZ6jXes7XY7e/bs+ZsGXatXr8Zo1Ba4hRBCiKlAdoyvwngNxoOVjQxuayL1K8sJCnAn18nsL3eLb/38V5m+dEWgyxE+4rS72f77s1w41EXmnFjWPzh3XIwNEv9aT4uF09XtnNvfgXPYTUxyOPNWpzFrRQphkf77Xjg8ZOHg6y9xZPObeL1e8kuvZ/nt9xARo22EknvAzmB5I7YjXejDDJhKsohckap52sCVDbrCw8MpLi5m8eLF0qBLCCGEeAdjHYw9gBXQAWGA7S8fAoxKqQkx82S8BuPOHx9GFxJE0sfyA13KpKW8Xn7z+U+gDwri/d/5idwtniT6O6xsfuIEA502Vtx2HYtKs+Qu8QTkcnq4eKiLU7vb6Lhk/usuclEaaTP9t4ts6euh5uXnOFFVjiE4hMU33sqSm+8gNDxC0/OcrUOYN9fjuDBAULyR6I05hC1I0PznaWtro7y8nIaGBmnQJYQQQvwT0pX6KozHYOzus9Px3YNE35CLaU1GoMuZtM7v38ObP3iMGz/9BWavWhvocoQPXDzSxbbfnMEQoqfsg/PImB0X6JKED/S2DnG6uo1z+ztw2P66izxnZSqh4f55Dba/vZU9z/+Bc/t2Y4w0sey2u1m48UaCQ679JIJSCvv5fsxv1ePutBGSZSL6xmmEZkdpqk0pxfnz56moqJAGXUIIIcQ7GOsd46VAglJq89+9/2agTSl1SOvC/jQeg7FldyvmP18i5QtLMMSHBbqcSUkpxe+/9BncDjsf+MEv0evl+OFEppTiSHkT+169SHJuFBs/PB9TnNy5nGxcTg8XD3dxatfILrIhRM+s5SksKM4gXmPX52vVWX+R6ud+R8PRQ5jiE1l5zwPMXbNO0/cQ5VXYDnViLm/Ea3ESNi+eqOtzCU7Q9n3/7xt05eXlUVJSIg26hBBCTHljHYx3AB9QSjX83funA08qpUq0LuxP4zEYd/3vMdSwm+TPLg50KZPWpcMHefU7X2fjxz7L/OINgS5HjILX42XXc+c5tbuNGUuSKHlwDoZgeaFjsutusnBiRwvnD3bicXlJnxnDguIMcvMT0AeN/bWI5lPH2fXH39Bx4TzxGVmsvv9BphUs03SE2ev0MLS7FcvOZpRbEbE8haj1WQRpvFNtt9uprq6mpqYGpRSFhYUUFRVJgy4hhBBT1lgH4xNKqQX/5GPHlFIT4nLseAvGniEn7Y/ux1SSRXRpdqDLmZSUUjz7tc9jHejn3370JEEGmRE9UTntbrb+6iRNp/oo2JTNilumyX3iKcY+5OL03jZO7mzF0msnMjaUeWvSmbsqbczHcimlqDuwl+pnf0d/eyvps+ey+v6HNM9A9licDFY2Yj3YgS44CFNxJqaiNHQaX+gZGBigqqqK48ePS4MuIYQQU9pYB+MLSqnp1/qx8Wa8BWPrwQ76X64j6dOLCEnzz9HAqabp5DFe/OYjrP/gx1lYdkOgyxEa2YdcvPGTo/S0DFF8/yzmFqUFuiQRQF6vovFED8e3t9Byth+9QceMJcnkl2SSmGUa07U9bjcnt1ew76U/Yh3oZ/rSFRTd9yDx6ZmanufqsmHeXI/9TB9B0aFElWUTvihJ84s+bW1tbN26lcbGRhISEigtLWXmzJnSoEsIIcSUMdbB+AmgF/iquuI36nS6rwOpSqmHtS7sT+MtGPf85hSuDisp/7FUfmgZIy9+66v0tjTxoZ/8GkOIjMKaiKxmB2/8+CjmrmE2fWQ+OQsSAl2SGEf62q2c3NnK2X3tuBwe0mfGkL8hi5z58WN6osBlt3Pordc5+MZLuOwO5peUUnjXfZjitP39dFwaYOCtelwtQwSnRhB9Qy7GGdrGRSmlOHfuHBUVFfT29pKTk0NZWRlpafKCkhBCiMlvrINxBPBrYBlw9PK784Fa4ENKqSGtC/vTeArGXoebtm/WELk8lZibrwt0OZNST1MDv/3CJym69/0sv/2eQJcjNLD02Xn9h0ewDjq58eN5ZMzSFhTE5OcYdnO6uo3jVc0M9TuISQ4nf30ms1akEBwydseJbYNm9r/yPEfL30IfFETBDbew9JY7MUZc+ykg5VUMH+/GvLUBT7+D0JmxxNyQS3CKtnFRHo+HQ4cOsWPHjrcbdK1fv57o6GhNzxNCCCEmAr+Ma9LpdNOAeZffPKWUuqR1wUAYT8HYdrybvj+eJfHhPEKnyQ8pY2HrEz/h7J6dPPyLpwkzaRuNIgLH0mfn1e8fxmFzc/On8kmRrxNxFTweL5cOd3O0somuRguhEQbmr0lnQXEGEdHXPm7papm7Otjz/B84U70DY6SJ5bffw8KyGzWdVFFuL0N72xisakY53IQvTia6LJugKG31/6VB1759+9DpdKxYsUIadAkhhJi0xnrHOOvdPlkp1aR1YX8aT8G499mzOC70k/rICmkgNAZs5gGe/MRDzFu7ntIPfzLQ5YhrZDU7ePV7hxkecnHrZxeSpHHmq5i6lFK0XzRztKKJ+uM96IN0zFyazMINWWM67qmz/iLVz/6WhmOHMSUksuqe9zJndbGmEU9em4vBqmaG9rWh0+uIXJ2OaW0G+lBtTQT/vkHXunXrKCgokAZdQgghJpUx70oNKODKBKeARCBJKTUh/qs6XoKxcntp+2YNYQsSiLtrZqDLmZT2vfwse194hg/84Jeam+KIwBi2OHn1B0ew9Nm59TMLZadYjNpAl43j25o5s68dt9NL5pxYFpVlkzE7dsz6OzSeOMruP/6GzksXSMjKYfX9D5K7cImm9dy9w5i3NjB8vAd9ZDBRG7KJWJqCLkhb7a2trZSXl0uDLiGEEJOSX45SX7FYDvAfwAbgJ0qpn2pd2J/GSzC2n++n56mTxD84l7A58YEuZ9Jxu1z86hMPkZx7HXd8+euBLkdcA4fNxWs/PEJ/h42bP5lPutwpFj5kt7o4tbuV49tbsJmdJGaZKNiYzbRFiejH4OSO8no5v38P1c/+joHOdjLmzmfN/Q+ROmOWpuc5my0M/PkSzoZBDIlhRF+fi3FOnKZA+04NujZu3Ehqaqqm2oQQQojxwl93jGcAjwDLge8Dv1VKubQu6m/jJRj3v1qH7Ug3aV9bgS5YH+hyJp1TO7ex5Rc/5M6vfIOc/IJAlyOuksfl5c2fHqX9gpkbP5FH1jx50UiMDY/Ly7n9HRypaGKg00Z0YhiLyrKYtSIFg8Y5wu+6ntvF8W1bqXn5OWzmAWYsX0nRve8nLi3jmp+llMJ+ug/zlnrc3cOE5EYTc0MuIZnaxlT9fYOu/Px8SkpKpEGXEEKICWusj1LPZyQQzwO+CzyrlPJoXSxQxkMwVl5F+2P7Cc2JJv6BOQGtZTJSSvH7L30Gr9vNg9/7uRwNnCCUV1Hx9GnqDnay4QNzmLVCdq3E2PN6FfVHuzm8tZGuRgvhUSHkr89k3pp0QsO03eN9N85hG7V/eo3aP72K2+lgQUkZhXfdT2Rs3DU/S3m8WA92MFjZhHfIRVh+ItEbczDEaWuoZbfb2b17NzU1Neh0OgoLCykqKiI0dOwalgkhhBBjYayDsQdoBv4M/EMgVkp9WuvC/jQegrGjcZDuXx4j7t5ZhC9MCmgtk1HzqeO88I2vUPrwp8hbvzHQ5YirtO/VCxze2sSK26axeFNOoMsRU4xSitZz/Rze2kjzmX5CjEHMX5tOXknmmHSytg70U/PK8xyv3IzeYGDxDbex9JY7CA2/9rFMXocby84Whna3oryKyJVpRK3LRB8erKm2gYEBtm3bxokTJ4iIiKC4uFgadAkhhJhQxjoYP/hun6yU+q3Whf1pPATjgbfqGdrTStrXVqA3+n5HYqp77fFv0XbuNB/+xdMEh8hOx0RwcmcLO589z7w16ay9TxoAicDqbrJweGsjFw93oQvSMbswlUWlWcQkhft8rf6ONvY8/wfO7d2F0RTFitvfQ37ZDRiCrz3UeswOzOWN2A53ojMaiCrJJLIwDZ1B23Wd1tZWtm7dSlNTEwkJCZSVlTFjxgz5+hRCCDHu+bX51hWLGoGblVIval3YnwIdjP8/e/cdHnWV9n/8PZn0npAGhFR6L6EF6SQICCgqIE1sWFZ39/mt++yq69pWXXfdtay9oIIRFUUQkBaQhJJAQgm9pPeezGRKkinn90ei68Oq63wzkyHkvK6LSzIk59xizMw955zPEUJQ9WI26h5ehN451Gl1XKsaKstZ+9t7mXDTYiYtWenscqRfoOxiA1teOUnUkGDm3jcMF7U8cy9dHRqrDZzcU8yFjEosFit9x4SRMCfGIVc9VeXnkp7yAcVncvAPDWfSkhUMmjQVlYvt/z+0VujR7Cig5VID6mBPAq6PwWtYiOKArgsXLrBnzx7q6+uJjY0lOTlZBnRJkiRJV7VOa4xVKpUaSAZuA2YDB4QQtyiduDM5uzE2Veqpevk4gTf1xXe8fGFhb/vXvceJnVu55/UPFJ3ZkzqXts7Ixuez8fJ145Y/JODugDOdktRRek0Lp/aVcHp/GaYWC7EjQkiYG2P3u7WFEBSdOkH6Jx9SU5hPaHQsU5atJmbkGEXjNV9qQPNNAaZKPe5RfgTMi8NDYc0Wi4Xs7Gz279+P0WiUAV2SJEnSVc3hjbFKpZoCLAPmAUeBSUCcEMKgdNLO5uzGWLu3GG1qET0fGY/a391pdVyLzK2tvP3AaqKGDGf+//zR2eVI/4Wp1cKmvx9DW2Pk1kfGEhhu/22qkmRPzXoTp/aVcOrbUloMZqKG9CBhbgw94+3bHAqrlQuH0zn02Xo01VVEDRvJlOVt18/ZPpbAcLwKze4irNpWvIb2IOD6WFxDvBTVZjQaOXjw4PcBXYmJiUyaNEkGdEmSJElXFUefMS4FioE3gc1CiCaVSlUghIhVOqEzOLsxrvrXCVRqFWEPjHRaDdeq84fS+ObVv3PLY38herj8+72aCSHY8/5ZLh+rZt4Dw4kZFuLskiTpF2s1mjmdVsrJ1BKadSZ6DwgkYU4MvQcE2fX8rdlkImf3N2Ru+pRmXRODJk/nuiUr8Q+1PbTR2mpBd6CMprQShEXgO6EnfjOiUPsoC+hqaGhg7969nDlzBh8fH6ZPn86oUaVi8RMAACAASURBVKNkQJckSZJ0VXB0Y/wKcCNwGvgE2AKcFkLEKZ3QGZzZGJsbmql8IYuAObH4TbX97krp533+9KNoa6q465V3FZ3LkzrPydRiDn2Ry/iFcSTMiXF2OZKkiKnFwtkDZZzYU4xB00pEXAAJc2OIGhJs1wa5Wa/j6JYvOP7NFhCCUXMWMP7GxXj62n7W2dLUinZPEfqsSlQeavxnROGbqDygq7S0lN27d1NcXExoaChJSUkyoEuSJElyus7YSq0CptN2tngu4A/cBXwjhNApnbgzObMxbjpYhmZbPuEPJ+CmcBub9OPqy8v44H/u5bqlqxh/02JnlyP9jKpCLZv+fozooT2Yc98w+QJa6vLMJgsXDldwbFcRuvoWQqP8SJgTQ+yIEFQu9vv+1tZWc/jzFM6m78PT24fxNy1m5OwbcHW3/ViOqUqP5psCmi82oA7yaAvoGh4qA7okSZKka0KnplKrVCo3YA6wFEgWQjhlL6RKpYoDHgMCfkkAmDMb45p3TmHRm4j4H2VBKtJPS/t4Lce/2cKaNz7EJzDI2eVIP6HFaObzZ49itQiW/Gkcngq3cUrS1chitnLxSCXHdxahqTES3MuHhDkxxI8Jw8WODXJNUQHpn3xI4clj+IWEct3SVYoTrJsvtwd0Vehx6+NH4LxYPGKUnZk2m81kZ2eTlpaG0Whk5MiRzJgxA39/+4aUSZIkSdJ/45Trmton9hJCGBV83VrgBqBaCDH0B49fD7wCqIH3hBB//QVjfXE1N8YWvYmKv2TiN70PAckxnT7/tcxsMvHO/bcTOWgoC373qLPLkX6CEILd758l73gNN/2/UfTsG+jskiTJIawWK7nHqsneUURDhZ6gCG8S5sXQd0y4XRvkolMnSU/5gOrCPMJi4pmy/A5F+QrCKjCcqEa7qxCLthWvIT3wnxOreGeT0WjkwIEDHDlyRAZ0SZIkSU7h6DPGp4Gf/AQhxHCbJ2xLudYB675rjNuvgroEJAGlQBZtW7fVwPNXDHGnEKK6/euu6sZYn11JwxeXCXtoFO4OuAOzO7uYcYBtL7/AzY88pfhaE8nxzh0q59v1F+S5YqnbEFZB3okasrYXUF/e1iCPnRdr1xVkYbVy4VAaBz9bj7ammpgRo5m8bDVhMbbHf1hbLegOltG0vxRhtrYFdM20X0DXjBkzGDlypAzokiRJkhzO0Y1x9M99sRCiSNGkKlUMsO0HjfFE4EkhxOz2jx9pH//KpvjKca7qxrj2o7OYKvRE/GGsPFNpZxufeYzGqgrufvU9Gbp1laov17Px+Swi4gOY/+uRdl01k6Sr3X80yD19GDsvhvjR9muQza2tnNy9nSObPqPZoGfIlBkkLl6Bf0iozWNZmlrRphahP9oe0DW9PaDLTXlA165duygpKSE0NJTk5GT69u0rnwslSZIkh+mUrdQqlSoQ6Nf+4SUhhEbphO3jxfB/G+NbgOuFEHe3f7wSGC+EePAnvr4H8CxtK8zv/VgDrVKp1gBrAKKiosYUFSnq4RWztlgofyYD33E9CVxg+z2U0k9rqCxn7W/WMGnJSiYsWuLscqQfYbFY+fKFYzTVN7P08XH4BMjtlFL39FMNct/RYXYL6WrW6Tiy+XNO7NwKwOg5Cxh34614+ti+U8lUpUezo5DmC/WoA38Q0KWgViEE58+fJzU1lfr6euLi4khOTiYiIsLmsSRJkiTpv3H0irE78A5tVzYVACogGvgKuE8I0apo0v9sjG8FZl/RGI8TQjykZPwrOWPF2HC6lvqU84TcMwzPeHmu0p7SP/mQ7K2bWPP6B/gG93B2OdKPOLqtgKxtBVx/71DiR9l+/6okXWuEVZB7vJqs7YVtZ5Ad0CBra6o59Nl6zh3cj6ePLxMWLWFE8jxc3WzfFt2c24jmm3xM5XrcIn0JnBuHR5wM6JIkSZKuXo5ujJ8G4mlrgpvaH/MDXgeKhBCPK5rUTlupfylnNMb1n16g+VIDPR+bgEott47Zi8Vs4p0H7qBX/4EsfPhPzi5H+hE1xU188dds4seEkXzXEGeXI0lXle8b5G0FNFQaCO7l03YGeZSyVdkfU1WQx4FPPqTo1An8Q8O57rZVDJw42eZjJ8IqMJxsD+jStOI5uAcBc2JwC/VWVNcPA7pcXFxITEwkMTFRBnRJkiRJduHoxvgMbSu3hise9wUyf5gqbdOk/9kYu9IWvjUTKKMtfGuZEOKskvGv1NmNsbBYKX8mE68hIQTf2r/T5u0OLmUeZOtLf+WmPz5B3Kixzi5HuoLFZOXz57No1pu47c/j5dVMkvQTrFZBnoMb5MKc46SnfEBNUQHhcX2ZsvxOoobanJmJMFloOlhO0/4ShMmKz/gI/GdGofa1/S5lgPr6evbu3cvZs2fx9fVl+vTpjBo1CheZFyFJkiR1gKMb41M/lTytUqlOCyGG2TyhSrUBmAaEAFXAE0KI91Uq1VzgZdqSqNcKIZ61deyf0tmNcfPlBmrfP0OPVYPxGiy3+trTpuefoLakmLtfew8XF5lyerXJ3JzHsZ1FzPvVcGKGOeWac0nqUqxWQd6xarK2O6ZBtlotnD+wn0OffUxTXQ2xoxKYvGw1oVExNo9l0bWiTS1Gf7QClZsav+l98JvUC5Wbsp/FJSUl7N69m5KSEsLCwkhKSqJfv37//QslSZIk6Uc4ujHOoa2J/bFn52+FECOUTtyZOrsxbtici+FYFb3+PEHxCwbpPxk0jbx13yrGzl/E5GWrnV2OdIW6Mh2fP5tF/3HhzFw92NnlSF1YSkoKjz32GMXFxURFRfHss8+yfPlyZ5flUFarIPdYFdnbC2moNNAj0pfxC+KIGdbDLknO5tZWTuzcypGvPqfFaGDI1JlMWrwCvx62v4Flqjag2VFA8/n2gK7ZMXiN6FhA1549e2hoaCA+Pp6kpCQZ0CVJkiTZzNGNcSFg5ccbY4QQsUon7kyd2RgLq6Di+aN4RPnRY6VsDuzp+I6tfPvh29z+4uuE9PnZm8SkTiasgi//fgxNjZHlT07A01duoZZsI6xWhMlESkoK9z34IAaj8fs/8/b25p2332b5ihVOrLBzWK2Cy1lVHN1WgLbGSFiMPxMWxBE5KMguDbKxScuRrz7n5K5tqFQujJ63kHELb8HD28fmsZrzGtF8U4CpTIdbb18C5sYqDps0m81kZWWRlpZGc3Mzo0aNYvr06TKgS5IkSfrFOuW6pq6uMxvjlmItNW/kELRkAD4yjdeuUh77f1jMZla98KqzS5GucHp/KemfXmLWHYMZMF6u9Ej/JoTAXF5OS2Eh5ooKTOXlmMorMFdXYWnUYNFqsWg0WJuaAJiZl0uF2fwf4/R0dWXvwEGovb1RBwaiDgpq+2dgIK6hobj17oVbz5649eqFa89eqH1tb/SuJhaLlYuZlWRtL0BX30KvfoGMXxBLr35BdhlfU13Foc/Wc/7gfjz9/Jl481JGJM1B7Wrbm1rCKjDk1KDdWYhF04LnoGAC5sTiFqY8oCs9PZ0jR46gVqtlQJckSZL0i3V6Y6xSqeKBpcBtSsO3OltnNsaaHQU0HSij15/G4+ItV83spaGijLW/vZcpK+5k7PxFzi5H+gFdQwufPJVJRKw/83890i6rWlLXJCwWWnJzMZ44QfPZc7RcukRLbi5Wvf7fn+TigmtYGG7h4agDA3EJ8EftH4Da3x+Vpydh967hx56VVEDliy9i1euxNDZibmhoa6wbGzHX1MAVzbQ6KAj3+Dg84uLxiI/DPS4ej359cQ0P71LfoxaTlXOHysneUYhB00qfwcGMnx9HeKx9VlKr8nNJT1lL8ZlTBIRHMPm22+k/4Tqb/46EyULToXKavi1BmCz4jOuJ/yz7BXTNmDGDkSNHyoAuSZIk6Sd1SmOsUql6AkuAZcBw4HlgkxDitNKJO1NnNcZCCKr+cQx1kAehd9mcSyb9jMMbU8j48lPWvPEBfsEy1OlqsvPt0xSeqeO2P48jQOE1LlLXJISg5fx5dOkHMBw9ijEn5/smWB0YiEf//nj064dHv364x8Xi1qs3buFhqH7mXt2YmBiKior+4/Ho6GgKCwt/vA6LBXNtLaby8u9XpVuLimnJy6M1Lw+LRvP956qDgvAcMgTPoUPwHDIEryFDcO3Z86pvls2tFs6kl3FsZxHNOhMxw0MYNz+W0D5+HR5bCPF9gnVtcSER8f2YsuJO+gy2/XnMomtFu7cY/ZH2gK5pffC7rmMBXbt27aK0tJSwsDCSk5Pp27evorEkSZKka5ujzxjfA9wGRAKft//a0lXOFn+nsxpjU5WeqpeOE7gwHt+JvRw+X3chhGDtb9bgHxrGrY/bLaxcsoPic3VsfTWH8QvjSJgT4+xypE5gbWlBf+AATXv3oTt4AEtNLQAeAwbgNXoU3qNH4zVqFG69eytqNlNSUlizZg0Gw79vCfT29uadd95RFMAlhMBSX09LXh4tly/TfO4czWfO0pKbCxYLAOqQELxHj8Y7YQxeY8bgOXAgKvXVGZzY2mzm1LelnNxTTIvBTPzoMMbNjyW4Z8e3jlutFs6lf8uhz9ajq68jbvRYJi9brSjTwVRjQLOjkOZzdagD3PGfHYP3yDDFAV3nzp0jNTX1+4Cu5ORkwsPDbR5LkiRJunY5ujFuBTKA3wkhstsfyxdCxCmd0Bk6qzHWfluMdlcRPR8ZhzpAnoeyl/JLF9jw+MPMvv+3DJ02y9nlSO0sFiufPXMUi0Ww7M/jUbvJLY7XKmE2o888gnb7dppSU7E2NeHi74/vdZPwmTwF3+sm4Roaarf5OiOV2trcTMvFixjPnMGYk4Mx+xim8nIAXHx88Bo1Cu+xY/FJTMRzyGBUV9kW3haDiZOpJeTsLcHcaqHfuHDGzoslUOHZ3h8ytbZw/JuvObp5I6bmZoZOn0XircvxDbb9+sGWfA2N3+RjKtXh1suHgLlxePbteEBXS0vL9wFdfn4dXzWXJEmSuj5HN8YhwK20rRqH07ZivFoI0UfphM7QWY1x1WsnUKlUhP1qpMPn6k72rn2LM/t2c987H+PhLbfqXi1y9pZwcONl5j4wnNjhcnv7tchUXU3jF1/Q+PlGzJWVuPj44DdrFv43zMNnwoSf3RLdFZkqKjBkH8NwLBvjsWO0XM4F2raF+yQm4jNpEj6TEnG7iq4SMupaObGrmNP7S7FYBIMmRpAwLxa/YM8Oj23QatoTrLfjolaTcMONjF1wM+5etv0cFlaB8VQNmp2FWBpb8BwYTMBc5QFdBoOB9PR0jh49ilqtZtKkSSQmJuLuruw8syRJknRt6LTwLZVKFUl76BbgDXwlhHhU6cSdqTMaY7Omhcrnj+J/fQz+07rU+wZXNYvZzNv3raLP0BHM/+0fnF2O1M6gbSXlzxlExAdww4MjrvrzmZJtjDk51K39gKa9e8FsxidxIoGLl+A7fRou3Sgd2FxXh/5wBvqDB9EdPvT9tnH3vvH4Tp2K38yZeI0YcVVsu9ZrWji+s4gzB8oAGHJdb8bMicbHDruXGisrOPjpOi5mHMA7IJDEW5cxbMZsXGz89xYmK7rDZWi/LUG0WvAZG4H/rGjUfsoDulJTUzl37pwM6JIkSZKcc12TSqXqDywVQjytdOLO1BmNsSGnhvoNFwh7aBTuvX0dOld3kn88i69eeIob//dx4seMd3Y5Urtv15/nQkYlS/88jqCIrn0tjtRGCIHhyBFq334bQ0YmLv7+BC5aRNDSJbjHxDi7PKcTQtBy6TL6Q4fQHzyAPisbTCbUwcH4Tp+G34wZ+CQm4uLl5dQ6m+qbyd5RyIVDFajUKoZNi2TM7Gi73C1ecfkiaR+/T9mFcwT3imTy8juIHzPO5jfGLHoTTXuL0WVWoHJ1wW9aJL7X9cbFXdkbDMXFxezevZvS0lLCw8NJTk4mPj5e0ViSJElS1+WsxjgJ+F8hRJLSiTtTZzTGjdvy0WVW0PupiajU8t1qe9n2yt8oOnWC+95eZ/P9mpJjVBdp2fjXbEbO7MOkW/o5uxzJDvRHjlLzz39izMlBHRpCj9V3ELhkSZe/C9iRLE1N/w4hS0/H2tSEytMTn8RE/Gcn4ztzJmpf571JqqkxkLWtkItHK3H3UDMyKYoRM/vg7unaoXGFEORmZ3Ig5UMaKsqIHDyUqSvuIiLe9p8FphoDmp2FNJ+tQ+3fHtA1qmMBXXv27KGxsZG+ffuSlJQkA7okSZK6EUefMZ4BvAX0AjYDzwHraLtS8lkhxCalE3emzmiMq9/KAasg7AF5vtheWo0G3lyzkiFTZzLr7gecXY5E24vPLS+foL5cz/KnJ+Lh1bEX2ZJzNV+6RM0//okuLQ3XiAhC7l1DwKJF3Wq7tD0IkwlDdjZNe/fRtHcv5ooKVO7u+EyZjP+cOfhNm4aLj3PeZKgr13FkSz4FObV4+bkx5voYhk7p3eGwPIvZzOm9uzj8xScYtRoGTprKdUtXERBmeyPaUqChcXt7QFdPHwLmxeLZN0hRXWazmaNHj5Keni4DuiRJkroZRzfGJ4D/oS2Zeg5tTfHjQohXlE7oDI5ujIVFUP7kYXzGRhC4QG7fspezaXvZ+cZLLH367/QeMMjZ5UhA0dk6tv0rh8lL+jN8eqSzy5EUsjQ2Uv3SyzRu3IiLjw891txD8MqVuHh2PLCpuxNWK8acHLQ7dtC0cxfm6mpUnp74TpuG/5w5+E6d4pS/58oCDZmb8ym72IBvsAfjbohlwPgIXDq4w6nFYCDr6y84tm0zQlgZNWcB429cjKeNq+XCKjCebg/oamjBc0BQW0BXuLI3FGRAlyRJUvfj6Mb4uBBi9A8+zhNCdLnOz9GNsalST9XLxwlaMgCfUWEOm6e7+eLZx2msLOeuV9+T4U5XAatV8PmzWZhaLSx7YjxqV3lkoKsRQqDZsoXqv/0di0ZD0PJlhNx/P65BylbnpJ8nrFaMx46h3bED7c5dWOrr25K951xP4MKFeI0Z0+nXQJWcrydzcx7VRU0ERXgzfkEccaNCO/wztqmulkOffczZ9L14evsw4ealjEieh6uNyeXCbEV3uBztvmJES3tAV5LygK66ujpSU1M5f/48fn5+zJgxgxEjRsiALkmSpGuQoxvjfODhHzz04g8/llup2+izKmn48jLhvxuDW6i8TsgedA31vHP/asbfdCuTlqx0djkScDGzgtQPz5N89xD6Jchze11Na1ERFX96HENWFl4jRhDx1JN4Dhzo7LK6DWE2Yzh6FM3WbTTt2oXVYMAtMpKABQsIWLgA9+jozqtFCPJP1nBkSz4NlQbCov2YsDCeyEFBHW6QqwvzSU/5gKJTJwgIC2fystX0n3CdsoCufe0BXWoVflP74Du5YwFdu3btoqysTAZ0SZIkXaMc3Rh/8DNfK4QQdyqduDM5ujFu+Ooyhpwaev15oqLQEOk/ndi1jX1r32L1P96gR2SUs8vp9swmCylPZOLl686tf0yQ3+ddiBCCxs8+p+pvf0OlVhP2+4cJvOWWTl+plP7NajDQlJqKZvMW9BkZIAReo0cTsHAh/nOuR+3v3zl1WAUXMys5ui0fXX0LvfsHMuHGeCLiAjo8duHJY6SlfEBtcSE9+w5gyso7iRw4xOZxzLVGNDsLMJ6pw8XfnYDkaLxHhysO6Dp79iypqanfB3QlJycTFiZ3ekmSJF0LnJJK3dU4ujGu+tcJXLxcCb17mMPm6G42PvMouvp67njpLWeXIgEn9hRz+MtcFvx2JH0GBju7HOkXMlVXU/H44+jT0vFJnEjP557DLSLC2WVJP2CqrESzdSuazVtozctD5eGB//XXE7j4VrxGj+6UYyQWk5UzB8o4tqMQY5OJmOEhTFgYR48OXj1otVo4l7aPQ5+tR9dQT9+xE5i8bDXBvWzPJ2gp1KDZXkBrSRNuEe0BXf06FtCVlpZGa2sro0ePZtq0aTKgS5IkqYuTjfEv4MjGWJislD1xGL8pkQRcH+OQObobY5OWN9esYNzCW7hu6Spnl9PttRjNrH/sMOEx/sz/tUxd7yr0GRmU/e5hrHo9YQ8/TNDyZXKV+ComhKD5zBkav/wS7dZtWPV63OPjCbz1FgIWLuyUc+CtzWZO7SvhxO5iWlss9B8Xzrgb4ggI7djdzKaWZo5t38LRLV9gbm1h+Kw5JN5yG94BgTaNI4TAeLq2LaCrvhmP/kEEzo3FTeFd6gaDgbS0NLKysnB1dWXSpElMnDhRBnRJkiR1UbIx/gUc2Ri3FGupeSOHHisG4TU0xCFzdDdn9qey682XWfH8y4TH9XV2Od1e1vYCjm4tYPGjYwmNkisqVzthtVL3zjvUvPov3ONiiXzlFTzkWcouxWowoN2xg8bPN2LMyUHl5oZfcjKBixfjPW6sw1eRm3Umju8u4tS3pQirYPB1vUiYG4NPQMeu8dI3NpDxxQZO7d2Jm4cH4xbeyui5C3DzsC2lW5it6DLK0e4tQbSY8UloD+jylwFdkiRJ3Zmjzxi7CSFMP/FnsUKIAqUTdyZHNsZNh8rQbM2n5yPjUHfwRYPU5qu/PU1NUQH3vLZWplE72Xerxb36BTL3/uHOLkf6LywaDeX/+wd0aWn433ADPZ960mn350r20XzxEo0bN6L5+musWi3u0dEELl5M4M2LUAfatuJqK31jC1nfFHL+YDkuahXDZ/RhVHIUnj62JU1fqa6shAOffERedia+wT2YtGQlg6dMx8XFtmAtq8GEdl8JuozytoCuKZH4TolUHNBVVFTE7t27KSsrIyIiguTkZOLi4hSNJUmSJHU+RzfGO4CFQojWKx4fAWwRQsQonbgzObIxrv/sIs25jfR6bLxDxu9uWo0G3rhnOSOS5jL99nucXU63J1eLu47WoiJK7ruf1tJSIh59hMClS+UbS9cQa3MzTbt20fD5RozHjrWdRZ5/A8HLl+M5yLH3vDdWGzi6tYDL2VV4eLkyKjmK4dP74OahrAH9Tum5M6R9/D6VeZcJjY5lyoo7iRk+yuZxzHVGNDsLMZ6uxcWvPaBrjPKArjNnzpCamopGo6Ffv34kJSXJgC5JkqQuwNGN8V+AicB8IYSh/bFpwHrgTiHEHqUTdyZHNsaV/8jGNdSbkFWDHTJ+d3Mx4wDbXn6BJU/+lchBQ51dTrcmV4u7DkN2NqUPPgRA5Gv/wjtB8XOC1AU0X7xIQ8onaLZuRRiNeI0eTdDyZfgnJaFy4PnY2lIdR7bkUXi6Dm9/d8beEMugST1Rq5VvORZWKxczDnBgwzq0NVXEjBjNlOV3EBoda/NYLUVaNNvzaS1uwi3Cm4C5cXj2V3Y222QycfToUdLT078P6Jo+fTq+vh0LJJMkSZIcx+FnjFUq1WPA9cAcYDbwErBICOG4mGc7c1RjbDWaKX8qA//kaPxnyCuF7GHbyy9Qcu409771kc3b6iT7kqvFXYNm61YqHn0Mt9696fP2W516H67kXBaNhsavvqLhkw2YiotRh4YQdOtiApcswS3ccSucFbmNZHyVR0WehoAwLyYsjCd+dGiHdiiYTSZO7trGkU2f0WzQM2TqTCYtWYFfsG3ZHUIIjGdq0exoD+jqF0jA3Djceyo7UqDX60lPT/8+oOu6665jwoQJMqBLkiTpKtQp4Vsqler/AfcCKmCuECJX6YTO4KjGuDm3gdr3zhBy11DF10ZI/2ZubeWNe5YzaNJUktY86OxyujW5Wtw11K9bR9Vzz+M9bhyR/3oVdUDH75+Vuh5htaI/eJD6lBT06QdArcYvaRbBK1fhPdr2rcm/aE4hKDxdR+bmPOrL9YRF+zHxpngiO3idm1HXxJFNn3Fy1zZULmoSbriRsQtuxt3L27b6zFZ0mRVo9xYjms14jwknIDkatb+yLJC6ujr27NnDhQsX8PPzY+bMmQwfPlwGdEmSJF1FHL2VeisgaGuIJwG5QOV3fy6EWKB04s7kqMZY+20J2l2F9PrzBFy8OxZGIkHesaNs/tvT3PzIU8SMHOPscro1uVp8dRNCUPv6G9S+9hp+SUn0+seLuMgVLIm2s+YNGz6lcdMmrFotniOG02P1avySklC5utp9PqtVcDGzkqNb89E1tNBncDATb4zv8M8NTXUlBzas4+LhdLwDApl4yzKGzUhGbeO/g9VgQvttCbrD5ahcVPhOicRvSiQuCs9HFxUVsWvXLsrLy2VAlyRJ0lXG0Y3x1J/7YiFEmtKJO5OjGuPa9ecwV+qJ+P1Yu4/dHe1882Vyj2Zw/7sfo3aVbzQ4S2uzmXWPytXiq5WwWql+4QXqP1pHwE030fOZpx3S8Ehdm1Wvp/GrzdSvW4epuBjXXj0JXrmKwFtuRu1n/ze7zCYLp/eXcWxnIS16M/3GhjN+QSwBobat9F6pIvciaevXUnbhLEG9IpmybDXxCeNt3rZtrjOi2VWI8VQtLn5u+CdF4zMmApXa9u3fVquVs2fP/p+AruTkZEJDQ20eS5IkSbIfRzfGoUCoEOLcFY8PAaqFEDVKJ+5MjmqMK547gntcAD2WDrT72N2N1WLhzTUriB2VwNwHf+fscrq1k6nFHPoil1v+kEB4rL+zy5F+QAhB1TPP0PDJBoJWrST8j39EJbdySj9DWCzo9u+n/oMPMWRn4+LjQ+AttxC0ciXukb3tPl+L0cyJXUXk7C3BahEMmdKbhLkxeCu8Yxjavu/zso+Q/smHNJSXEjloKFNX3ElE3/6211esRbO9gNYiLa7h3gTMjcWzf5Ci89Emk4kjR45w4MABWltbGTNmDNOmTZMBXZIkSU7i6Mb4U+DNK1eGVSrVbOB2IcQypRN3Jkc0xhZtKxXPHSHghjj8rrP/i4vupvhMDhufeYwFv3uUfuMSnV1Ot2WxWPn4TxkEhHpx4/8b7exypB8QQlD91xeo/+gjgu+8k7DfPyyvY5JsYjxzlvqPPkK7YwdYrfglJRG8+na8R9n/HLK+sYWs7QWcO1SB1WNkXwAAIABJREFU2s2FkbP6MCopCndP5bsbLGYzp/ftJuOLTzBoGhmQOIXJt60iICzCpnGEEDSfrUOzowBzXTMefQMJmBuLey9lDa1eryctLY3s7GwZ0CVJkuREjm6MzwohhvzEn50RQnSJ+3Qc0Rgbz9VRt+4cofePwCNarqp11N61b3Lm21QeeC8FNw9PZ5fTbV3MrCD1w/PM+9VwYobZlgYrOY4Qgpp/vkTdu+8StHIl4Y8+IptiSTFTZSUNKSk0fPY5Vq0WrxEjCL77LvxmzrT7DoTGKgOZW/LJO16Nl58bY+bEMHRyb9RuyudpNRrI+vpLsrdtRlgtjLx+PhNuWoKnjSu1wmxFd6SCpr3FWI1mvEe3B3QFKAvoqq2tJTU1lQsXLuDv78+MGTNkQJckSVIncnRjfEkI8aN7lVQq1UUhxAClE3cmRzTGml2FNKWV0OvJRFzc5bVCHSGsVt55YDURfQew8OHHnF1OtyWE4LO/HEUIWPr4ONl4XUVqXnud2tdeI3DJEiKefEL+t5HswqrX07h5M/UffoSppAT32Fh63HUn/gsW2D3MrapQS8ZXuZRdbMSvhyfjF8TRf2w4Khfl38tN9bUc+uxjzqbtxdPbh/GLljBy9g24utmWUWE1mtsCug6VtQV0Te6N39RIXDyUrW4XFhaye/fu7wO6Zs+eTWys7fcyS5IkSbZxdGO8HXhdCPHNFY/PAX4thJijdOLO5IjGuOb901h1JsJ/I7ebdlT5pQtsePxh5jz4OwZPnu7scrqtorN1bPtXDjNvH8TAiT2dXY7UrmHDBiqferotaOvZv8gzxZLdCYuFpt27qX33XVrOncc1NJTg1bcTuGQJajuelxVCUHKunozNedSW6OgR6cvEG+OJGhLcoTd7aooKSE/5gMKc4wSEhXPdbbczYOJk2wO66pvbArpyanDxbQ/oSlAe0HXmzBn27t2LRqOhf//+JCUlyYAuSZIkB3J0Y9wf2AYcBo61P5wATARuEEJcUjpxZ7J3YyyEoPzpTLyHhRC0qJ/dxu2u0j5ey/FvtnD/uyl4+sjQEmfZ/NJxGquMrPzLRNSusvm6GjTt3UvpQ7/Gd8oUIl/7l0yflhxKCIH+8GHq3nsPQ0YmLn5+BC1dSvCqlbjasaETVsHlY1Uc2ZKPtraZ3v0DmXBTPBGxHbuHuzDnOOkfr6WmuJCIvv2ZuuJOIgfZfuKrtaSJxu35tBZqcQ1rD+gaIAO6JEmSrnYObYzbJ/AAlgHfPbucBT4RQjQrnbSz2bsxNtcaqXwxm8BFffEdJ1fWOkIIwdrfrCEwoic3P/q0s8vptqqLtGx8PpvERX0ZlRzl7HIkwHDiBMWr78BjwACiP/wAF++OXXsjSbYwnjlL3Xvv0bR7NypXVwJuvJEed96Be0yM3eawmK2cPVBO9jcFGJtMxI0KZcLCOIIifBSPabVaOJf+LYc+W4+uvo74hAlMWb6a4F6RNo0jhKD5XB2aHYWYa412C+jKysrCzc2NyZMnM2HCBNxs3PYtSZIk/TSHN8bXAns3xoaT1dR/epGwX49S/CQptakpKmDd/z5E0j0PMnzW9c4up9va9e4Zis/Wcfvzk3D3kquSztZSUEDR0ttwCQwgZsMGXIODnV2S1E21FhVRt/YDNF99hTCZ8EtOpsfdd+M1zH7Zm63NZk6mlnByTzFmk5VBiT0ZOy8W3yBlIVgAppZmjn/zNUe3bMTU0sLwmdeTeOsyvAMCbRpHmK3oj1SgtWNA1549e7h48SL+/v7MnDmTYcOGyYAuSZIkO3D0VuoC4Kc+QQgh4pVO3Jns3Rg3bs1Df7SSXk8mKjp7JP1b5pefcujzj7nv7fX4BAY5u5xuSVtr5OPHMxiVHMXEm/o6u5xuz9LUROHiJVgaG4n57FPco+QKvuR85poa6td/TMOGDVibmvCZNImQ++7Fe+xYu81h0LaSvaOQs+lluLioGD6jD6NnR+HhrXxV1aBp5PAXGziVugNXdw/GLbyFMfMW2nz7wY8HdPXBxUNZ+GZBQQG7d++moqKCnj17kpycLAO6JEmSOsjRjXGPKx5yARYDDwPHhRA3K524M9m7Ma5+MweAsPtH2G3M7mrD47/HYjaz4vmXnF1Kt3Xoi8vk7Ctl1bOJHVqhkTpOWCyU3H8/+sMZRH/4Ad4Jin+2S5JDWHQ6GjZsoP7Dj7DU1eGVMIaQ++7HZ1Ki3dLSNTVGjnydz+WsKjy8XRkzJ4Zh03rj6qb8Boj68lIOfPIhuVmZ+Ab3YNLiFQyeOgMXF9vG/I+AruT2gC4F6drfBXSlpqai1WplQJckSVIHdcpWapVK5QKsBH4PnASeE0KcUzppZ7NnYywsgvInD+MzLoLA+V1iwfyq1azT8cbdyxh/061MWrLS2eV0S6YWCx89cog+g4KZfU+XuJb8mlb94ovUvfc+EU8+SdDSJc4uR5J+ktVopHHjF9S9/z7mqio8hw0j5P778J02zW7J6TUlTWR+lUfxuXp8gz2YsDC+w1c8lZ4/Q9rHa6nMvURoVAxTVt5FzPBRNo/TUqxFs72A1iItruHeBM6NxXOAsiMPJpOJzMxMDhw4gMlkIiEhgWnTpuHjo/ystSRJUnfk6BVjN+BO4H+Ag8DzQog8pZM5iz0b49ZyHdWvniB46QC8R4bZZczu6mLGAba9/AJLn/47vQcMcnY53dKZ9DLSPrnIoodH07OvbWfvJPvSbN1G+e9/T+BtS+n5xBPOLkeSfhFrayuazZupe+ddTKWlePTvT8h99+I3ezYqtfIV3h8quVBPxqY8aoqbCOnjy8Sb4okafOWGtl9OCMHFjAMc3PARmuoqYkaOYeryOwiJirF5HOOZOjQ7C7DUNePRL5CAuXG491TW0Op0OtLS0sjOzpYBXZIkSQo4ujEuBczAy0DxlX8uhNikdOLOZM/GWHe0gsZNuUQ8nIBriJddxuyudr75MrlZGTzw7ie42OkFlPTLCSH49JmjuKhVLH50rN22QUq2a7l8mYJbF+M1dChRH6xFJV8IS12MMJvRbt9O7dvv0Jqfj3tMDD3uvZeAG+bZ5ftZWAWXs6vI3JJPU10zkQODSFzUl9AoP8Vjmk0mTu7aRuamT2k1GBk6fRaJi1fgG2Tbyq8wW9FltgV0iWYz3mPaA7r8lR1NqampYc+ePVy6dImAgABmzpzJ0KFDZUCXJEnSf+HoxvhDfj58606lE3cmezbGDZsuYzhdS68/T5CNRAcIIXj7/tvpPXAI83/7B2eX0y2VXqhny8snmbFqEIMS5bVjzmI1GCi4dTEWjYa4rzbZ9b5YSepswmKhaU8qtW+9RcuFC7j17k2Pe+4mYNEiXNzdOzy+xWTldFop2TsKadGb6T8unPEL4vDvwBvVRl0TRzZ9yomd21G7upIwfxFj5y/CzdPGgC6DqS2g63B5W0DXlEj8pkTaJaCrV69eJCcnE2PH67IkSZKuNU67rkmlUoULIaqUTtyZ7NkYV71yHBdfN0LvGmaX8bqr6sJ81v/h18y+/7cMnTbL2eV0S9+8eYqKPA23P5/YoVAbqWPK//gImi1biPpgLT4TJji7HEmyCyEEuv37qX3rLZpzTuEaFkaPu+8icPFiXGxsOH9Mi8HE8V3F5OwrQQjBsGmRJMyJwdNH+ep0Y2UFBz75kEtHDuETFMykxSsYMm2m7QFddca2gK5Ttbj4uROQHI33GGVno61WK6dPn2bv3r1otVoGDhzIrFmzCAkJsXksSZKka12nNsYqlSoAuBlYBgwSQvRWOnFnsldjbG21UP7kYfym9iFgdkzHC+vGjmzeyMENH3HvW+ts3rYmdZy2zsjHf8pg1OxoJt4oQ+ScpXHTV1Q8+ighDz5I6IO/cnY5kmR3QggMmZnUvvEmhqws1KEhhNxzj90aZF1DM0e2FnAhowIPL1dGz45m+PRIXN2Vv9lXdvE8aevfo+LyRUKiYpi6/A5iRo6xeZyWIi2a7fm0FjfhFuFNwNw4PPsru5awtbWVzMxMDh48iNlsJiEhgalTp8qALkmSpB9weGOsUqm8gAW0NcOjAT/gRiBdCGFVOnFnsldj3FKkpebNHHqsGoxXB4I/JPjsyT/SYjSw6oVXnV1Kt5S5JY/jO4tY+WwifsEdf3Eq2e77c8UjRxL1/nt2CyqSpKuV/uhRal9/A8ORI3ZvkOvKdGR8lUfRmTp8gzwYNz+OARMicFGYYC2E4FLmIQ5s+BBNVSXRw0cxdcWdhEbbdtdwW0BXLZodhVjqm/HoH0Tg3FjcIpQHdO3fv59jx47h7u7O5MmTGT9+vAzokiRJwvFnjFOAKcBu4FNgH5ArhOhSt9DbqzFuOliGZls+PR8dj9q/42eluqsWg5437l5GwvxFTL7tdmeX0+1YLFbWPXKY0Gg/bviVvIvbGURrKwWLl2CuqSFu81fyXLHUrTiyQS672MDhTblUFzXRo7cPE2/qS9SQYMWZIGaTiZzd28n88lOaDXqGTpvFpMUr8A227c1xYbaiy6hAu68toMsnIQL/pGjFryWqq6vZs2cPly9fJiAggFmzZjF06FCZfSJJUrfm6MY4B1AB64DPhBAlKpUqXwgRp3RCZ7BXY1z36QVaCzT0fGS8Harqvi4fOczX/3yOJU/8lcjB8u7czpZ3opqdb59h7gPDiR0uz6k5Q/U/X6LunXeIfON1/GbMcHY5kuQU/9Eg3303gUuWdLhBFkKQe6yazM15aGub6T0giMRF8YRF+yses1mnI3PTp5zYuQ0XVzVj5y8iYf4i3D1tC/2yGkxo95WgyyhHpVbhNyUS3ymRuCjc+p2fn8+uXbuoqqqid+/eJCcnEx0drWgsSZKkrq4ztlIPpG0b9RKgGhgIDBNCVCqdtLPZqzGu/HsWrhE+hKwcbIequq/db7/KxYyDPPDeJ6hdXZ1dTrfz9asnaajQs/IvE3FRy+s/Opvh+AmKVqwg4KYb6fXss84uR5KczlENssVs5eyBMrK2F9KsM9EvIYzxC+MJCFWeYN1YVcmBDR9xKeMAPoFBJC5ewdDps2wP6KptD+g6bZ+ArlOnTrF3716ampoYNGgQs2bNokcPeeRLkqTupbPDtxKA24BbgVIhRKLSiTuTPRpjq8FE+dOZ+M+OwX96HztV1v0IIXjnV3fQM74/C373qLPL6XY0NUY+fjyDsTfEMu6GLnUi4ppg1evJv/EmsFqJ3bIZta+vs0uSpKuGoxrkVqOZ47uLyEktwWoVDJ3am4S5MXj5Kj8SVX7pPGnr11J+6TwhfaKZsuJOYkaMtnkrc0uhBs32AlpLmnCL8CFgXiye/ZQHdGVkZHDw4EEsFgtjx45l6tSpeHt7KxpPkiSpq3HKdU0qlcoF+I0Q4iWlE3cmezTGzZcaqF17hpC7h+LZV9mTlgS1xYV89PsHSVrzEMNnznZ2Od1Oxld5nNhdxKrnEvENkqFbna3iiSdp/PxzotevwztB8c9tSbqmOapB1jW0kLUtn/OHK3DzUDP6+miGz+iDm8JtzEIILh89zIGUD2msqiB6+CimLL+DsBjbTpsJITCerkWzsy2gy3NAEAFzY3ELVxbQ1dTUxP79+zl+/DgeHh5MmTKFcePG4Sp3aEmSdI1z5j3GxUKIKKUTdyZ7NMbafcVodxfR64mJuHjJJxelsrZuIv3jtax540P8esjzrZ3JYrby0SOHiIgLYO79w51dTrejzzxC8erVBN9xB+F/+F9nlyNJV70fDelasgQXD48OjVtfridjcx6Fp2rxCfRg3PxYBk7sqTjB2mI2kbP7GzK+/JRmvY4hU2cyackK/IJte44TZiu6w+Vo95UgWsz4jG0P6PJTtrJdVVXFnj17yM3NJTAwkFmzZjFkyBAZ0CVJ0jXLmY1xiRCiS+wptkdjXLvuHOYaAxG/k6s8HbHxmUcxaDTc/uLrzi6l2/kudGver4YTM0y+KdGZrM3N5C9cCALitmzGxUv5GUdJ6m70R49S+6/XMGRl4RoeTsj99xG4aBEq947dDlF+uZHDm3KpKtAS3MuHiTfFEz20h+LGsVmn48jmzzmx42tULmoS5t/E2PmLcPeybSuzRW+iaV8xuowKVK4u+E2NxHdyb8UBXXl5eezatYvq6moiIyNJTk4mKqpLrGtIkiTZRK4Y/wL2aIzLnz2CZ99AgpcMsFNV3U+r0cDrdy1j9NwFTF1xp7PL6Xa2v55DTXETq56fpHhlRFLmuxTqqA/W4jNxorPLkaQuRwiBITOTmldexXjyJG69exPyq18RsGA+qg5sERZCkHe8hszNeWhqjPTqF0jior6ExypPsNZUV3JgwzouHk7HOyCQSYtXMHR6Ei423lVuqjWi3VGA8Wwdan93/GfH4D0qTHFA18mTJ9m3bx86nY7Bgwcza9YsgoODbR5LkiTpauXo65qaAEHblU20/572j72EEF1iT3FHG2OLpoWK548SOD8O30m97VhZ95KbfYQtf3+GWx9/lqih8v7czqTXtPDRI4cZlRTFxJvinV1Ot9J84QIFN99CwIIF9Hr+OWeXI0ldmhACfXo6Na+8SvO5c7jHxBDy4IP4z52DykV5yr7FYuXcgXKythdgbDIRPzqMCTfGERimPLiq4vJF0j5+n7IL5+gRGcWUFXcQOzJBUUBX4/YCTCVNuPX0IWBeHJ59AxXV1NLSQkZGBocOHcJisTBu3DimTJkiA7okSbomOG3FuCvpaGNsPFNL3cfnCX1gBB5Ryt9F7u5S33udcwf286v3P0Ht6ubscrqV47uLyNiUx/KnJhAYLl8AdRZhsVC49DZM5eXEbduKa5AM7pMkexBCoNu7l5pXXqXl8mU8+vUl5KGH8EtK6tAZ2tZmMyf2FHNyTzFWs2DIlLYEa29/Zdu2hRDkZmWQnvIBjZUVRA0dwdSVd9ke0GUVGE/XoNlRiKWxBc+BwQTMiVEc0KXVavn22285ceIEnp6eTJ06lbFjx8qALkmSujRHrxh7AvcBfYFTwFohhFnpZPakUql8gHTgCSHEtp/73I42xpqdhTSll9L7qURUbvLeVyWEELz30N2ERsdy4+//5OxyuhUhBBueOoKHtxs3/+8YZ5fTrdSvW0/Vc8/R6x8vEjBvnrPLkaRrjrBa0e7YQe1rr9NaUIDn4MGE/PohfKdO7VCDrNe0kLWtgHOHKnB1d2F0chQjZkbh5qHsnK/FbCJnz04yvtxAs66JIVNmMGnJSptDKIWpPaDr22JEiwWfcRH4z1Ie0FVZWcnu3bvJz88nKCiIWbNmMXjwYBnQJUlSl9TRxvi/dXkfAQnAaWAu8A+lE31HpVKtValU1SqV6swVj1+vUqkuqlSqXJVK9cdfMNQfgM87Ws8v0Vratn1JNsXK1ZeXoq2pInbkaGeX0u1UFWppqDQwcGKEs0vpVsy1tdS8+io+112H/9y5zi5H6gZSUlKIiYnBxcWFmJgYUlJSnF2Sw6lcXAiYN4+4rV/T8/nnsWi1lN53P0VLb0N/+DBKd8X5BHgwbflAbvvzOCIHBHHk6wI+/nMG5w6WY7XaPqba1Y3Rc+Zz1yvvMHb+Ii4cSmPtb+/l4KfraTUafvE4Kre2MK6I34/Fd2Iv9FlVVP49G+2+YqytFpvrioiIYNWqVSxfvhxXV1c2btzI2rVrKSkpsXksSZKkru6/rRifFkIMa/+9K3BUCNGhzkalUk0BdMA6IcTQ9sfUwCUgCSgFsoDbADXw/BVD3AkMB0IAT6DWkSvGwioofzoD7xGhBN3UT9EYEhzbvpn9697j7n+9T0BYuLPL6Vb2p1zgYmYld/ztOtzlVWOdpvzRx9Bs3Urc11vwiI11djnSNS4lJYU1a9ZgMPy7yfL29uadd95h+fLlTqyscwmTicZNX1H75puYKyvxHjuW0N/8usP3hlfktiVYV+bbJ8FaU13FwU/XceFQGt4BgSTeuoxhM2bbHtBVY0Czo5Dmc3WoA9zxT1Ye0GWxWDh58iTffvstOp2OIUOGMGvWLILkERBJkroIR2+lPv7DRvjKjxVPqlLFANt+0BhPBJ4UQsxu//gRACHElU3xd1//LOADDAaMwE1CCOtPzdeRxthUY6DqH8cIurkfPmPliptSXzz7OE21Ndzx0lvOLqVbMbda+OAPh4gZ3oOkO4Y4u5xuw5iTQ+GSpfS4+y7CHn7Y2eVIXZTJaqKsqYzipmJqDDVUG6upMdRQY6xB16pDb9JjMBvQterIfDCTltqW/xjDM8STee/Pw9vNG283b3p49mj75dWDYM9gQr1D6e3bmwifCNxcrp3sB2tLC42fb6T27bex1NbiM2kSob/5NV7Dld/hLoQg/0QNGV+1JVj3HhDEpJv7Ehrlp3jMityLpK1fS9mFswT37sOU5XcQN3qs7QFd+Roav8nHVKrDrVd7QFe88oCuw4cPc+jQIYQQjB8/nsmTJ+Mlr5mTJOkq5+jG2ALov/sQ8AIM7b8XQghFSVQ/0hjfAlwvhLi7/eOVwHghxIP/ZZzV/MSKsUqlWgOsAYiKihpTVFSkpFT0J6pp+Owi4b8djVuEspCL7s7U0szrd93GyOS5TFt1j7PL6VYuZVWy5/1zLPztSCIHyms5OoOwWilcshRzZSVxO3ag9pU/N6T/rs5Yx9m6s5yuPc2l+ksUaAso0ZZgviLWI9gzmBCvEPzc/fBx88HH1QdvN2+euu6pf98b8UMqeDD1QYwmIzqTjvrmeuqMdbRaW//Pp6lVaiJ8Ioj0iyTSN5L4wHj6BvalX1A/engqXxl1NqvRSMMnG6h7910sjY34Tp9O6G9+jefAgYrHtJitnD1QRta2Qpr1JvqPC2f8wjj8eyhrHIUQ5GZnciDlAxoqyokaOpwpK+4iPNa2GwSEVWA8VYNmZ3tA16BgAubE4qYwWVur1bJv3z5OnjyJl5cXU6dOJSEhQQZ0SZJ01eqSqdQ/0hjfCsy+ojEeJ4R4yB7zdWTFuPHrPPTZlfR6MlHR1iQJCk8e48vnn+DmR54iZqQMf+pM217Loa5Mx6pn5fdvZ2n88ksqHvsTvf72AgELFji7HOkqVaWvIrMik8yKTI5XHadcXw6Ai8qFaP9o4gLiiPGPITYglmj/aMK9wwnxCsFN/eOrujExMfzYG8DR0dEUFhb+n8eEEOhMOmqNtdQYaijTlVGqK6W0qZRSXSkl2hIaWhq+//wgjyD6BfWjf1B/hoUMY1joMCJ9I7tUs2zR6Wn4eD1176/F2tSE/9y5hP76IdxjYhSP2WI0c3xnETn7SkDA8OmRjJkTjYe3spV3i9nMqdQdHP6iLaBr8OTpTFqyEv+QUJvGESYrTYfKaPq2BGGy4DOuJ/6zolD7KgvoqqioYPfu3RQUFBAcHExSUhIDBw7sUv/9JUnqHq6VxtimrdS26khjXP3GSXBREXafvHdXqQMbPiJ76yYeXPsZbp6ezi6n2zA2tfLBHw4xclYfEhf1dXY53YJFpyMveTbuMTFEp3wsXzhK3xNCcLr2NKlFqaSVppGvyQfaVoATwhMYFjKMoSFDGdxjMN5utq/w2fuMcZ2xjtzGXC43XP7+n5caLtFsaQbamuWhIUMZFjqMUWGjGBE6Ai/Xq3+rrUWjoe79tdSvX49obSXw5psJeeB+3CKUH5Vqqm/m6Nf5XDhSiYe3K2PnxjJ0Sm/UCgM7Wwx6jmzeyPFvtqBCxZgbbmTsglvwsPGuYYuuFe3eYvRHKlC5qfGb3ge/Sb1QudmerC2E4PLly+zevZva2lqioqKYPXs2vXv3tnksSZIkR7lWGmNX2sK3ZgJltIVvLRNCnLXHfEobY2GxUvbEYXwn9CLwBtvuHJT+7ZPH285YLnvmRSdX0r2c3l9K+qeXWPKncYRE+jq7nG6h+uWXqXvrbWI2bsRr2FBnlyM5mRCCc3Xn2Ja/jdTiVCr1lbi6uDIuYhyJvRKZ0HMC/YL64aKyz40HKSkpPPbYYxQXFxMVFcWzzz5r1+Atk9VEbkMup2tPc7r2NGdqz5DXmIdA4OriyvCQ4SREJDA2YuxV3yiba2qofettGj7/HJVKRdDy5fRYc0+H7hqvKWkiY1MuJecb8A/xZMKN8fQdE6b4DTJtTTUHP13H+YP78fIPIPHW5QyfqTCg65sCms/Xow7wwP//s3ffYVGead/Hv/Tem4DS7b0iCqIiWBN7ibEbk1iSbEziZjebTbJ5kuxuiimmR2PvLSoWUKyAXVHBAtJBOgx1GGbmfv+YJE/ePCnMLTgK1+c4OKIo15wqmZnzKr9rlB/WPd1kB3RduXKF48ePU1NTQ/fu3YmIiMDRUd55ZkEQhKb0yDXGRkZGW4Ch6FKlC9HdQ7zayMhoDPAxuiTqNZIkvdNUjym3MVblVVP02RWcn+iEdU/9tjIJOg1KJasWTKffY5MIe2KuoctpVXb99yIqpYYn/hls6FJahYbCQu6OHIVdRATeH4pJoNZMUa/gQPoB9qTu4Xb5bcyNzRnsPZhI30jC24Vjby4rnuOhVK2q5mrxVS4UXOBiwUWSS5PRSJqfG+WwtmGEeofS0anjQ7mDQpWbS8mqz1Hs24exlRXO8+fjPG/efWUDZCeXkrA7jdK8Gtz97Bk8OQiv9vIbx4K7qZzcuJrclBs4e7VlyKz5BPQZoPffp/JuBYqDGTTkVWPmbYvjWH8sAuTVpVQqiY+PJzExEUmSGDhwIGFhYViKXWGCIBjQI9cYG4Lcxrj63D0q9qTR5pV+mMoM1WjtMq9dYdc7r4vzxQ+YoriOja8nMnBCAH1H+Rm6nFbh3uuvU7H3BwIPHcS8bVtDlyMYQLoinfXJ69l/dz8qrYouLl2Y3H4yo/1HY2cuP7n4UVLTUMOVoiucLzjP2fyz3Cy7CYCblRuDvQcT6h1KiFfIQzc5UJ+WRvEnn1IVG4uJkxMuTz+N08wnMLawkDWeVitx++w9zu3LoKaiHv+eroRMDMRJZoinJEncvXSeU5u+pzw/l3ZduhMZ7ByjAAAgAElEQVQ+eyEeAfodk5G0ErVJxVQezkSj+DGga4w/Zm7yAroUCgVxcXEkJSVhbW39c0CXiZ6r2oIgCE1BNMaNILcxLtt5B2VKKZ6vD3woZ7ofBWe2ruf8DztZ9v02zC3F5MKDcvFgJuf2pTP7nRDZSalC49WnppI+fgLOs2fj8bdXDV2O8IBdKbrCmutrOJF7AgsTCx4LfIzpHafTyVl+8nFLUVxbTHx+PGfyzpCQn0CVqgoTIxP6evQlwieC4T7DaWPz8FyFWHf9OsUrP6YmIQHTNm1wXboEx4kTMZKZxNyg0pB0LIfLR7JQq7R0CfViwDh/rO3lBWFp1GquHztCwo5N1FVV0jlsGKEzZmPv6q7XOFKDhqoz+VSd+DGgK9gT+wj5AV35+fnExMSQmZmJi4sLkZGRdOz4cO4SEASh5RKNcSPIbYwLP76Esb0FbgvEWUG5tvxzBZJGw8x3PjR0Ka2GJElseesclrZmTHpZrNI/CDnPLqb20iUCY47c1xlF4dFyo+QGn135jIT8BJwsnJjRaQbTO07HxcrF0KU9lNRaNdeKr3E67zRx2XE/B5B1d+1OhE8EET4R+Dn4GbbIH9WcPUfRyo9QJl3D3NcXtxeex27UKIyM5Z0Hr61UcTE6g+TT+ZiYGdM7yodeI3wws5C3slpfW8P5H3ZyOfoHJCT6jhnPgAlTsbDWb0VaU62i8mg2Ned/GdDljZGM4DBJkrhz5w4xMTGUlpbi6+tLVFSUCOgSBOGBEY1xI8hpjLUqDflvJGA33AeHSN9mqqxla6hXsmr+DPqOm8CQmfMMXU6rUZxdxfZ3LxA+syPdhog3JM2t5tx5sufOxe2l5bguEvd0twbpFel8cvkT4nLicLRw5KnuTzGt47SHOmzqYZSuSCcuO46jWUdJLtVlbQY5BhHlG8Vo/9EGb5IlSaL6+HGKV35MfWoqFp074/6XF7AZMkT2SmhFYS2Je+6SfrUYGwdzBjweQKcQT4xlXqdXWVJE/NYNpJw+jpWdPSFTZ9IjYhQmeq5wNxTVojj0Y0CXowUOo/yw6iE/oOvy5cscP36c2tpaevToQUREBA4ODnqPJQiCoA/RGDeCnMa4PkNB8dfXcJnbBavOYvZfjqzrV9n5P/9g0qtv4t9b9veooKf4nalci8tl/n9DsbSVd5+m0DiSJJE14wkaCgsJPHwIYxE806JVq6r5MulLNt/cjKWpJXO6zmF259nYmovU9/t1r/oecTm6JvlS4SUkJLq4dGGM/xhG+o006HZrSaOhMjqa4k8/oyE3F6u+fXFf/iLWfeXvyMlPqyBhVxqFGZU4e9kQMjEQ324ushvuwvQ0Tm5YTU7KdZw8vRny5HwC+wXrH9CVVoHiYDoN+TWYtbXFcWwAFv7yGlqlUsmZM2dITEzEyMiIgQMHEhoaKgK6BEFoNqIxbgQ5jXHV6VwU0Rl4vhaMiZ28MzetXfy2DZzbu4Olq7fqff+iII+klVj/WgKubW0Zu1Tcvd3cqk+dIufpZ2jz1ls4TZ9m6HKEZiJJEvvT9/PRxY8oU5Yxqf0knu/zPM6WzoYurUUqrCnkcOZhDmUcIrk0WXeXr0dfRvuPJso3CkdLw1wNJKlUVOzaRckXX6IuLsZmSBjuf/kLll26yBtPkrh7uZjEvXepLK7Du6MTgycH4eYjL6hNkiTSL1/g1MY1lOXn0rZzN8JnL6RNYHv9xtFK1F4povJIJppKFZZdXXAY5Sc7oKuiooK4uDiuXbuGtbU1w4YNo0+fPiKgSxCEJica40aQ0xiXbr6JKrsKz1cHNFNVLd/WN1agUat58p2PDF1Kq3HvroLd719ixPwudAx+eAJtWiJJksicNh1NWRmBhw5iZC4m0Fqi/Op83kx4k8R7ifRw7cHfg/9OV9euhi6r1ciqzOJgxkEOph8kszITU2NTwtuGMyFoAoO9B2Nm/OB3xWjr6ijftImSb79Dq1BgP2Y0rs89h4W/v6zxNGotN07lcTE6E2VNAx2CPQh+PEB2cKJWo+HaTwFdlQo6hw4ldMYc7N30C+jSqjRUn8mj6kQuklqL7UBP7CJ8MLGR93eel5dHTEwMWVlZuLq6EhkZSYcOHURAlyAITUY0xo0gpzG+998LmHvZ4DJL3kxwa9dQr+TzBTPoPfpxwmctMHQ5rcaZ7alcP5XLgvfDsLCSl6IqNE7V8ePkLl6C5zv/g+PkyYYuR2hikiSx484OPryoCw5c3nc5UztOxdhIXviScH8kSeJW2S0OpB/gQPoBypRluFi6MC5gHBOCJhDkpN+1RU1BU1lJ6fffU7ZuPVJ9PY6TJ+O6dClmHvo1oD+pr23g8pEsko7lAtBjWFv6jvbFwlpeI1pfW8uFfTu5dGAvEhJ9xownWE5AV5WKyqNZ1JwvwMjCBPthPtgO8pId0HX79m1iY2MpLS3F39+fqKgoPD099R5LEATh10Rj3Aj6NsaamgbuvX0Wh9F+2IW3a8bKWq7sG0nsePs1Jr76BgG9+xu6nFbh523U7ewYu6SHoctp0SRJInPyFDRVVQQejMbITJzlbklK6kp47cxrJOQnEOwZzFuD3sLbVgTZPSwatA2cyT3D3rS9nMo9hVpS082lGxOCJjDKfxQOFg825EldUkLJV19Tvm0bRiYmOM+ejcuipzCxl3dXc1WZknP70rl9rgALa1P6j/GnW7g3JqbyJmUqS4qJ36YL6LK0tWPQlCfoMWK0/gFdhTUoDmagvF2OidMvArpkrPhqNBouXrzIiRMnqKuro2fPngwfPlwEdAmCcF9EY9wI+jbGyttllHyfjOui7lgGGuYs06Mufvsmzu3extI14nzxg1KQrmDXfy8xYl5nOg4Us+/NqerYMXKXLsPzvfdwnDjB0OUITejsvbO8eupVqhuqeaXfK0zrOE1s9XyIldaVEp0ezd67e0ktT8Xc2JxIv0imdZhGb/feD/TfTpWTQ/Gnn1F54ADG9va4Pr0IpyeflB3KV5xdRcLuNHJvlWPvasnACYEE9XW/r4CuU5vWkH3jGk6eXoQ9OZ+gfgP1D+hKLUdxMIOGezWYtbPDcaw/Fn7yGtq6ujrOnDnD2bNnMTIyIiQkhNDQUCwsLGSNJwhC6yYa40bQtzGuPJZN5dEsvN4IwdhSbEeVY9ubr9JQX8+s91YaupRW48yOVK6fFNuom5uk1ZIxaTJSXR0B0Qcw0nPVRXg4abQavkz6km+ufYO/gz8fhH9Aeyf9QosEw5EkiZtlN9mdupvo9GiqG6oJdAhkasepPBb4GPbm8lZv5VDevEnRRyupOX0a0zZtcHtuGQ7jx8t6rpAkieyUMhJ2pVGWX4OHvz2DJgfhFSRv0l6SJDKuXOTkxjWU5eXg3akr4bMX4BnUUb9xtBK1l4tQxGSirVRh1dUFh9H+mLrKOxddXl7OsWPHuHHjBjY2NgwbNozevXuLgC5BEPQiGuNG0LcxLlmbjLqsjjbLxRVDcqhVKlYtmE6vkeMYOnuhoctpFUQa9YNTFRdH7pKleP3n3ziMH2/ocoQmUKmqZMXJFcTnxzMxaCKvDngVazOx0+VRVdtQy+HMw+y4vYMbpTewNLFklP8opnaYSnfX7g9sFbnm3HmKPvwQ5bVrmAcG4v7iX7CNiJD1+FqtxK3Ee5zfl06NQoV/T1dCJgbi1Ea/88I/j6fRcD0uhoQdm6hVVNBpcDihM+bg4O6h3zgqDdWn86g6mYOkkXQBXcPlB3Tl5uYSExNDdnY2bm5uREZG0r59e7FrQxCERhGNcSPo0xhLksS9d85h2cEJ52n6zaAKOjnJ19j+r78zYcU/CewrUr0fhJ+2UUfM60wnsY262fx0b7G6pITAI4fFanELkKHI4Pm458mtzuW14NeY0mGKoUsSmlByaTI7bu/gYMZB6tR1dHLuxNQOUxkXMO6BTH5IkkRVbCzFKz9GlZGBVa9euL+0HOv+8rI3GlQako7mcPlIFuoGLV1Dveg/zh9re3mp+Kq6Wi7s28XFA3uRtBp6j36c4InTsLTR725uTZWKytgsai4UYGRhiv3wdrqALhnnoiVJ4ubNmxw9epSysjICAgKIioqiTRtx04IgCH9MNMaNoE9jrK5QUvDvCziOD8Q2xKuZK2uZEnZs4uyubSxZvVnvF1dBnjM7U7l+PJcF74fKTjAV/lzN+fNkz5mLxz9fx3nmTEOXI9yn+Lx4Xjn5CmYmZnw09CP6evQ1dElCM6lWVROdHs32O9u5U34HWzNbJgRNYGanmbSzb/6QTUmtpmLPHkpWfY66sBCb8CG4L1+OZUd5E/C1lSouRGeQfDofUzNj+oz0oecIH8zM5W09riotIX7bRpJPHcPSxpaQKU/QM3I0Jqb6vZ40FNSgOPRjQJezpS6gq7urrBVftVrNxYsXOXnyJHV1dfTq1Yvhw4djLzPUTBCElk80xo2gT2Nce72Esk03cV/aC/N2ds1cWcu0/a2/UV9Xy+x/f2LoUloFSdJto3bxtmWc2EbdrLIXPY0yJYWgY0dlB+oID4cf0n7gjYQ3CHQM5LPhn+FlKyZCWwNJkkgqTmLzrc3EZsaikTQMaTuEmZ1nEuIZ0uxbdrVKJeUbN1Lyzbdoq6qwf2wcbs+/gHlbeann5QU1JO65S0ZSCTYO5gx4PIBOIZ4YG8v7cxRlpnNyw2qybyTh2MaTITPnEzRA/78XZWo5iugMGgpqMPexw2FsABa+8hrauro6Tp8+zblz5zA2NmbQoEEMGjRIBHQJgvB/iMa4EfRpjCsOZVB9Jg/vtwbJ2gLU2v18vjhqLEPnPGXoclqFggwFu/5ziYi5nekUIrZRNxdlSgoZkybj9uKLuD7ztKHLEWSSJInvk79n5aWVBHsG88mwT7Axk3dOU3i0FdUWsf32dnbc2UGZsowAhwBmdprJY4GPNfs2a41CQem331K2YSOSVovTEzNwffZZTJ2dZY2Xn1ZBwq40CjMqcfayYdCkIHy6Ostq9CVJIvPqJU5uXENpbjZeHbswdPZCPNvLCOi6VIgiJgttlQqr7q44jPLD1EVeQFdZWRnHjh0jOTkZW1vbnwO6jI3FezVBEHREY9wI+jTGxd9cQ6vS4LGsdzNX1TLlptxg21uvMv6V1wnqF2zoclqFhN1pJB3NYf77oVjKDDwR/lze8uVUnzpN0PE4TOzEbpJHkVbS8uHFD1mfsp5RfqN4J/QdzE3knc0UWg6VRsWRzCNsvLmRlNIU7MzsmNh+IjM6zaCdXfNus24oKKDk88+p2LUbYysrnBfMx2XePIxt9J+skSSJu5eLSdyTRmWJkradnBg0KQg3H3nPV1qNhhsnYonftpFaRQUdQ8IImzkXB3f9zvpqVRqqT+VSdTIXSSthG+KF/fB2GMs89pOTk8ORI0fIzc3F3d2dqKgogoKCZI0lCELLIhrjRmhsYyxpJfLfSsS6tztOE8STrByJO7eQsHMzS7/bgqWtOF/8IGx64yy2ThaM/4uYzGkuqqws7o4eg8vCBbi/9JKhyxFk0Epa/pX4L3al7mJmp5n8dcBfMTYSK03C//p5m/XNzcRm6bZZD203lHld5zX7ncj16ekUr/yYqthYTFxccF28GKdpUzEy13/iRqPWcuNkHhcOZlBfo6ZDsAcDxwdi5yzv+IeqrpYL+/dwcf9uJK2GXqMeY+DE6Xq/xmsqVShiMqm9VIiRpSn2w32wDfGUHdCVkpLC0aNHKS8vJzAwkKioKDw89EvVFgShZRGNcSM0tjFuKKql8KNLOE3pgE0/8eQqx463/05ddTVz/vOpoUtpFcoLatj85jnCpnegx7C2hi6nxbr3zzdQ7N1L0LGjmLq5GbocQU9aSctbiW+xO3U3i7ov4rnez4nrX4Q/VFRbxNZbW9l+ZzuKegU9XHswp+scInwiMDVuvjT6uqtXKfrwI2ovXMCsXTvcnn8e+7FjMJKxXbi+toFLh7O4FpcLQM+IdvQZ5Sv7nvuqshIStm/ixomjWFrbMHDyE/QaOUbvgC7VvRoUB9OpT63QBXSN9sOqm/yArgsXLnDy5Enq6+vp3bs3w4YNw07s6hGEVkk0xo3Q2Ma45lIh5Tvu4PFiH8w8xJkzfakbGvh8/nR6RI5m2NxFhi6nVbh8JIvEPXeZ8+4g2asBwh9Tl5WRNnQYDhMm4PmvtwxdjqAnraTlzYQ32ZO2h2d7PsuSnktEUyw0Wm1DLfvu7mNDygayq7LxtvVmdpfZTAya2GznkCVJoub0aYo+Wkn9rVtYdO6M+/IXsQkNlfW9W1Wm5OwPd7lzrhBLWzP6j/Wn6xAvTEzk7Zgoykzn1Kbvybp2BUcPT8KenEf7AYP0D+i6U05FdDrqwlrMfe1xGOuPhY+8gK7a2lpOnTrF+fPnMTExYfDgwQwaNAhzGSvugiA8ukRj3AiNbYzLf0ij9lIRXm+GYCQz0bE1y715g21vvsr4l/9BUP+Bhi6nVdj134to1BLT/i7vTkzhz5V89RXFH39CwIH9WIhzbI8USZJ4M/FNdqfuZnHPxSzptcTQJQmPKI1Ww4mcE6xLWceVoivYmdsxrcM0Znaeibu1e7M8pqTVUhkdTfEnn9KQm4v1gAG4v/wSVj16yBqvKKuShF1p5N2pwNHDmpCJgfj3lLdSK0kSmUmXObVxDSU5WXh16Ez47IV4deik3zhaidqLhShiM9FWNWDVwxWHUf6YypzoLS0t5dixY6SkpGBra8vw4cPp1auXCOgShFZCNMaN0NjGuPDzqxiZGuP+jLwXndbu7K6txO/YxJLvNmNlK7YxNbfaShXf//UMA8b503+sv6HLaZEklYq0iBFYdOyIz3ffGrocQU8fXvyQtclreabHMyzrvczQ5QgtRFJxEuuS13Es+xjGRsaM8R/D3K5z6eDUoVkeT1KpKN+2nZIvv0RTVobdyJG4v/gXzP389B9Lksi8Xkri7jTKC2rxDHJg8OT2ePjLW6nVajXcOH6UhO0bqakop0NIGGFPzMXRQ8+ArnoNVadyqT71Y0DXIC/sh8kP6MrOzubIkSPk5eXh4eFBVFQUgYGBssYSBOHRIRrjRmhMYyypteS9kYDtYG8cx4gmQ44db79GXVUlc/77maFLaRVSzuRzfOMtpv+jP65txUREc1Ds20f+ir/S7ttvsA0LM3Q5gh7W3FjDyksreaLTE/xtwN/E9mmhyeVU5bAxZSN70vZQp65jsNdgFnZfSD+Pfs3y/aaprqHs++8p/f57JJUKp2lTcV2yBFNXV73H0mq0pMTf4/z+dOqqGmjfz52BEwKxd5V3lZJKWcfF/bu5sH83WrWG3qPGMXDSDP0DuhT1KGKzqL1UiLGVKXbDfbAdKD+gKzk5maNHj1JRUUFQUBBRUVG4uzfPCr8gCIYnGuNGaExjrMqtomjVVZxndsK6hwjX0ZdG3cCq+TPoHhHF8HnPGLqcViH68yRK82qY/U6IeNPfDCRJInPyFLRKJQEH9ssKvxEMY0/qHv6Z8E9G+43m30P+LdKnhWalqFew/fZ2Nt7cSJmyjJ5uPVnYbSHh7cKb5XtPXVxM8RdfULF9B8YWFjgvXCD7iidVnZrLMVkkHc1BK0n0GNaOvqN8ZV/9V11WSvz2Tdw4EXt/AV351SgOZlCfVoGJiyUOo/yx6uYiO6Dr/PnznDx5EpVKRZ8+fRg2bBi24uYMQWhxRGPcCI1pjKvP5lOx9y5t/tofUycRYqSvvFspbH1jBY+/9HfaDxhk6HJavIZ6DatfPk3XUC/CpjfP9r3WrvbSJbKenEWbN9/AacYMQ5cjNNKp3FM8F/ccIZ4hfDb8M8xMxN3ewoOhVCvZm7aXtclryavOI8gxiAXdFjDKfxRmxk3/fVifnkHxypW6K55cXXFbthTHyZMxMtP/sarLlZzbl86tswVYWJvSf4w/3cK9MZGxUgtQnJXByY1r7iugS5IklHfKUURnoC5qmoCukydPcuHCBUxNTRk8eDAhISEioEsQWhDRGDdCYxrjsh13UN4qw/MfwWL1TYazu7cRv20Di7/dhLW9g6HLafHSrxRz6OvrjH+xN207Ohm6nBYp9/kXqDl3jvbH4zC2bp70WaFp3S67zZxDc/C192XtqLXNlhosCH+kQdvA4YzDrLmxhrSKNLxsvJjXbR4TgyZiadr0E++1V65Q9MGH1F26hLmfH24vLcduxAhZ72WKc6pI2JVG7q1y7N2sCJkQSGAfN9nvizKuXuLkhtWU5mbj1bELQ2cvxLN9R73GkDQSNRcLqIzNQlvdgFVPNxxG+t1XQFdsbCy3bt3Czs6OiIgIevToIQK6BKEFEI1xIzSmMS5YeQlTRwtc53d7QFW1LDvfeZ2ainLmvr/K0KW0CkfXppB5rYQF74diLPPKDeH3NeTlkRYZhcvCBbi/9JKhyxEaoaSuhJnRM9FoNWweuxkPG3EXvWBYWknLqdxTfHf9O5KKk3C2dGZW51lM7zQde3N5q56/R5IkquPiKPrwI1Tp6Vj17o37Ky9j3aePrLGyk8tI2J1GWX4NbQLsGTylPW0C5E16azUabpz434CujiFhhM2ci4O7vgFdaqpO5lJ9Ok8X0DXYWxfQJfNe5qysLI4cOUJ+fj5t2rQhKiqKgIAAWWMJgvBwEI1xI/xZY6ytV5P/ZiL2ET7Yj/B9gJW1DFqths8XzKBz6DBGPCWuQ2luWo2WNSvO4NvNhcj5XQ1dTotUtPJjSr/9lqDYGMy8vQ1djvAnlGolC2MWklqeytpRa+ni0sXQJQnCzyRJ4mLhRVbfWE18Xjw2ZjZM6ziNOV3m4Gqlf3DWHz6WWk3F7t2UfLYKdXExthERuL+0HAsZDZ9Wo+VWYgHn9qVTW6kisI87IRMDcHCTtxNDpazjwr7dXNy/G0mroffoxwmeOA1LG/3O+qoV9VTGZFF7WRfQZR/hg81AT4xkTBJrtdqfA7oUCgUdOnQgMjISNzeRNSMIjyLRGDfCnzXG9ekVFH9zHZd5XbHq5PwAK2sZSnKyWPfyUkYteZGu4RGGLqfFy08tZ8+HVxi5qBtBfUW6ZlOTVCpSh0dg1b077b78wtDlCH9CkiT+duZvRKdHs3LoSkb4jjB0SYLwu26W3mTNjTXEZMVgamTKpPaTWNh9IW1s9Fs9/TPa2lrK1q+n9Nvv0CqVOE6ejOuypZjJSGRWKdVcjc3mSmw2Wo1E96Ft6TfGT3ZAV1VZCfHbNpJ88hiWNraETHmCnpGj9Q/oyqtGcTCd+rsKTF2tcBjth2UXeQFdDQ0NnDt3jtOnT6NSqejbty9Dhw4VAV2C8IgRjXEj/FljXHUyF8WhDDz/EYyJrQhh0Nf14zHEfPUp8z76EhfvdoYup8VL3JPG1dgcFn4YhrnMLWTC76s8dIi8F5fT7uuvsA0PN3Q5wp/YfHMz751/j2W9lvFMT5GILzwasiuzWX1jNfvS9oERjA8cz1Pdn6KtXdsmfRx1WRklX3xJ+bZtGJma4jxvLi4LF2Iio+Grqajn3P50bibcw8LKlL6j/egxtC0mZvKO8xRlpnNyw2qybyTh5OlF2Mx5BPXX75YFSZJQ3i5HcTAddVEd5n72OI4NwLydvCsMa2pqfg7oMjMzIywsjIEDB2ImI9BMEIQHTzTGjfBnjXHpppuocqvw/OuAB1hVyxH7zSpuJ55m6eot4kqbB2Dr2+extDFlwnL9z44Jfy5rzlwa8vIIjDmCkYmJocsR/sDVoqvMPzKfUK9QPhn+ibiWSXjk5Ffns+bGGnan7kYraRkXMI5FPRbha9+0x7pU2dkUf/wxlQcPYeLsjOuSJThNm4qRjETmktxqEnenkZ1Shr2rJQMnBBLU113WSq0kSWRcvcipjd9TmpuNd6euhM9egGfQfQZ09foxoEvmLSMlJSXExsZy+/Zt7O3tiYiIoHv37iKgSxAecqIxboQ/a4zv/ec85u3scJnZ+QFW1XKsX/Ec1g6OTHntbUOX0uJVlytZ97cEQiYF0idKnIdvavXp6aSPGYvb8uW4Pr3I0OUIf6BMWcbU/VMxNzZn67itOFiINHzh0VVYU8ja5LXsuLODBm0Do/xG8XSPpwl0DGzSx6m7fp2i9z+g9vx5zHx8cH/xL9iNGiWrqc1OKSVh111K86rx8Ldn0OQgvIIcZdWl1Wi4HhdDwo5N1Coq6DQ4nNAZc3Bw1y9ET6vUBXRVnc4DfhHQZSlvd1VGRgYxMTHcu3cPT09PoqKi8Pf3lzWWIAjNTzTGjfBHjbGmWsW9/zmHwxh/7IY07Ram1qBBqeSz+dMInjCVwdNnG7qcFi/5dB4nNt1mxj8H4OIlzj41tYJ336V8y1banziOqYuLocsRfodGq+GZo89wtegqG8dspJNzJ0OXJAhNoqSuhPXJ69l6eytKtZJI30ie7vE0HZ31W0H9I5IkUXPqFEUffEh9aiqW3bvj/vLL2ATrv2tOq5W4ffYe535Ip0ahIqC3GyETAnH0kBnQVVfLhX27uHhgL5Kkpc/oxxkwYar+AV0V9VTGZFJ7uQhjG1PsI3yxCW4jO6Dr+vXrHDt2jMrKSjp27EhkZCSurk0bnCYIwv0TjXEj/FFjXHerjNK1ybg93R2LAHkzna1Z7s0bbHvzVSas+CeBfcVW9OZ26KvrFGVVMufdQeK+7SamrasjNXwotqGheH/0oaHLEf7A10lfs+rqKv416F9MbD/R0OUIQpMrV5azIWUDm29tpqahhmHthvFMz2fo6tJ0NxFIGg2KH/ZR/OmnqAsKsA0Px+2l5Vh26KD3WA31Gq4ezeZyTDbaBi1dw73pP9YPK5m5LVWlJcRv20DyqTgsbe0YNOUJeowYjYmpfiu/qrxqFNHp1Kf/FNDlj2UXZ9kBXWfPnuX06dM0NDTQr18/hg4dio2Njd5jCYLQPERj3Ah/1BgrYrOoisvG681BGFuI84T6urB/N6c2rmHxt5uwthdbGZuTRq1l9Uun6TDAg6FPihWyplaxaxL5EVgAACAASURBVDf3XnsN3w3rse7f39DlCL8jqTiJuYfmMtJvJP8Z8h9DlyMIzUpRr2Dzzc1suLmBKlUVYd5hPNPzGXq69Wyyx9AqlZRt2EDpN9+iranBYcIE3J5/DrM2+idl1yjquXAgg5Qz+ZhZmOgCuoa3xdRM3vurwoy7nNq4muwb13Dy9GbIk/MJ7Besf0DXzTIUhzJQF9dh7u+A41h/zNvKC+iqrq7mxIkTXLp0CXNzc8LCwggODhYBXYLwEBCNcSP8UWNc8v0N1BX1tHmx7wOuqmXY/9F7FGak8dRnqw1dSouXe6uMHz6+ypjF3fHvKe5YbGqZ02egqa4m4MB+sRr/kKpWVTN1/1S0kpadj+/EzlzeG1tBeNRUq6rZensr65LXUVFfwSCvQSzptaRJG2R1eTmlX39D+aZNYGyM85w5uCx6ChN7e73HKsuvIWFPGlnXS7F1tmDg+EA69PfAyFhmQNeVi5zcuIayvBzadulG+KyFtAlsr984Gi01FwqojM1GW9OAdW937Ef6YuooL6CruLiY2NhY7ty5g4ODAxEREXTr1k0EdAmCAYnGuBF+rzGWJIl7/3MWy04uOE/Vf+uQAN8smY9Xx86Me2GFoUtp8eJ3pXHteA4LPwjDXGaQiPDb6u/eJX3sONxXrMBlwXxDlyP8jtfOvMaB9AOsHbWW3u69DV2OIDxwtQ21bLu9je9vfE95fTmh3qEs7bWUbq7dmuwxVLl5FH/yCZX792Pi4IDL4mdxmjkTYxkJ1rm3yojflUZJTjVuPnYMnhyEd0cnWXXpArqOEL99E3WVCjqHDiX0iTnYu+p3N7NWqabqRC5VZ3IBI+xCvbEb2lZ2QFd6ejoxMTEUFBTg5eXFyJEj8fUV4ZiCYAiiMW6E32uM1WVKCv57AccJgdgO9DJAZY+26vIyvn52DkPnPEXfsRMMXU6Lt/mtc9g4mDP+L6IhaGqF779P2br1utAtEajyUDqccZhXTr3Csz2fZWmvpYYuRxAMqrahli23trA2eS0V9RUMaTuEJb2WNOkZZGVKCkUffEhNQgJm3t64/eUF7MeO1ftaRkkrced8AWd/SKe6vB6/Hq4MmhSIUxt5Z3Pra2u5sG8nlw7sRUKi75jxDJgwDQtr/QK/1BVKKo9kUXulCGMbM+xH+GAzQH5A17Vr1zh27BhVVVV06tSJESNGiIAuQXjARGPcCL/XGNdeK6Zs8y3cl/WSfdakNUu9kMi+D95hxr/ex7ujuOqqOVWW1rHhtUQGTwmi1wgfQ5fTokgNDaQOG45Vz560+3yVocsRfkNJXQnj947Hz96PdaPXYWosdkwIAkBNQ83PDbKiXsHQtkNZ0msJnV2a7jW5Oj5el2B98yYWXTrj8fLL2AwapPc4apWGpLgcLh3OQq3S0jXUi/7j/LG2lxfQVVlSRPzWDaScPo6VvQODpsyke8RI/QO6cquoiE5HlVGJqduPAV2d5QV0qVQqzp49y5kzZ1Cr1fTv358hQ4aIgC5BeEBEY9wIv9cYVxxMpzo+H++3BmFkKs6E6Ov05rVcPLCHZWu3Y2ZuYehyWrQbp/I4ufk2M98Mlj3LLvy2qrjj5C5ZQtvPV2EXEWHocoRfkSSJF0+8yOnc0+x4fAcBDgGGLkkQHjrVqmo23dzEupR1VKmqGN5uOEt6LWmya54krZbK6GiKV35MQ34+NoMH477iFSw76j9+baWKC9EZJJ/Ox9TcmD4jfekZ0Q4zc5kBXelpnNjwHbkpN3D2asuQWfMJ6DNAXkDXwQzUJXVYBDjgMDYAc2951yJWVVVx4sQJLl++jLm5OUOGDGHAgAEioEsQmplojBvh9xrjoq+vIam1eCztZYCqHn3b//V3VHW1zHrvY0OX0uJFf3GNsvxqZr0dIoKhmljuc89Re/kK7U8cx0i8aXno/LSF+i99/sLC7gsNXY4gPNSqVFVsvLmRDckbqGqoYoTPCBb3WkwHp6bJUdHW11O+eQslX32FtrJSl2D9wvOyEqzLC2pI3HOXjKQSbJ0sCB4fQMcBbWQHdN29dJ5Tm76nPD+Xdl17ED5rAR4BQfqNo9FSc76AyqNZaGvUPwZ0+WHqKG/yv6ioiNjYWFJTU3F0dPw5oEu8jgtC8xCNcSP8VmMsaSXy30zAuq8HTuP1e+IUQKvVsGr+DLoMGc6IhYsNXU6LpmnQ8t1Lp+gU4kn4E00z+y/oqMvKSB0SjvPs2Xj8VQTIPWzKlGVM2DsBb1tvNozZILZQC7Jt2rSJ1157jezsbHx8fHjnnXd48sknDV1Ws6lUVbIhZQMbUzZS3VBNpG8ki3supr2TfknOv0ejUFDy9TeUb9igS7CeO1eXYG2n/7G0vDvlJOxKoyirCtd2tgyaHES7Ts7y6lKruXbsMIk7NlNXVUmXsGEMnjEHe1f9bnLQKtVUHc+hKj4PMMIu7MeALgt5z0F3794lJiaGwsJCvL29GTlyJD4+4liUIDQ10Rg3wm81xg2FNRSuvIzT1A7Y9PUwUGWPrpLsTNa9soxRS16ka7jYftqccm6Wse+Tq4xd0gO/HiLIoymVrl1L0b//Q8D+fVi0b5o3jELTefnkyxzLPsb2cdub7A290Pps2rSJp59+mtra2p8/Z21tzTfffNOim2PQ3YO8PmU9m25uorahlpF+I3m257MEOgY2yfiq3DyKP/6YygMHMHFywnXpUpymTcVIzwRrSSuRerGQxL13qS6rx7ebCyGTAnHxkreVub62hnN7d3D54A8YYUTfcRPo//gU/QO6ypQoYjKpu1qMsa0Z9iN8senfBiMT/Vd8tVotSUlJxMXFUVVVRefOnYmMjMTZWd4kgCAI/5dojBvhtxrjmosFlO9MxWN5X8zc9XuiFOB6XAwxX3/K/JVf4ezV1tDltGgJu9NIOpbDwg/FNU1NSZIkMsZPwMjSEv/t2wxdjvArJ3NOsixuGct6LeOZns8YuhzhYabVQE0JVBfqPurKQVUNqlpQ1eA3/T2yihT/58t8PZzI3P8+mNuChS1YOYOtO9h66H7eglQoK1iXso5NNzehVCsZ7T+aJb2W4GvfNNcK1d1Ipuj996k9dw4zXx/cl7+EXVSk3luG1Q0arsXlculwFg1KNZ1DvRgwzh8bB3lbmSuLizizdT03z5zA2sGRQVNn0n34SIxN9DvPrMr5MaArsxJTdyscxgRg2dFJdkBXQkIC8fHxaDQaBgwYwJAhQ7DWs2kXBOH/Eo1xI/xWY1y+N43aK0V4vREi6zxLaxfzzWfcOXuGpd9t0fvqBkE/29+9gJmFCRNf6mPoUlqUuhvJZE6ZQps338BpxgxDlyP8Qp26jok/TMTCxIKdj+3EzESc/RaAqkK4lwQld6A0TfdRlg5V90DS/u6XGb9VyW+90zECtG/Y//YXmdvqmmR7b3D2B+cAcPL/8ceBj2zjXK4sZ23yWrbc2oJKo2J80Hie7fEsnrae9z22JElUnzxJ0QcfoEq7i1WvXrivWIF1H/2vGKyrVnExOpMbJ/MwNjOmT5QPvUb4YGYhL6CrIO0OJzeuIffmDZy92xE+awH+vfvpH9CVUoriUKYuoCvIEYcx/pjLXNWuqqri+PHjXLlyBQsLi58Dukz1TNUWBOF/ica4EX6rMS787ArGlia4LephoKoebetfWYa1oxNTXnvb0KW0aHXVKta8cobgx/zpN8bf0OW0KAX/8w4V27fT/sxpTOx/582xYBCfXv6Ub69/y5qRa+jfpr+hyxEMQdMAeZch8xTkXYH8K1CV/7+/bukIru3BJQgc2upWeW09wK6NbuXX3Eb3YWaNX2AQWVlZ/+chfH3akXnjPNRXg6oKasugugiqC3T/rSoARQ6UZUBtyf//xY6+4NENPLqCRxfdj50D4RGZKC6pK+G769+x/fZ2AKZ0mMKi7otws9bvLO5vkdRqKvbsoeTTz1AXF2MXGYn7S8sx9/PTe6yKwloS994l/UoxNg7mDHg8gE4hnhjLDei6eE4X0HUvD59uPQif/RTufvol3UtqLTXn7lF5LBtt3S8CumSuahcWFhITE8Pdu3dxcnJixIgRdOnSRQR0CYIMojFuhF83xpJaS94bCdiFeuMwWjQb+mpQKvls3jSCJ01j8LRZhi6nRUu7VMSRb28weUVf2gQ4GLqcFkNSq0kNH4p1v360/USkqj9MMhQZTNo3idF+o3k37F1DlyM8SGXpcOsgpJ+ArARoqNF93qU9ePUGr17g2QvcO4N1489lNskZY2UllGdCeYZuxbowBQqToTT1f1erLex1dbbtD237gXc/sL3/RrM5FdQU8FXSV+xN24uZsRlPdHqCBd0W4GjpeN9ja2trKV27lrLvVqNVqXCaPh3XpUswlXGm9l5aBfG70ijMqMTF24ZBk4Pw6eIiqy6NWs21o4dI2LkFZXUVXYcMZ/D02di56Jfhoa1TU3k8h+r4PIyMjbAN88YuXH5AV1paGjExMRQVFdG2bVtGjhxJu3btZI0lCK2VaIwb4deNsSqniqLPr+L8ZGesu4swI33lptxg21uvMvGvbxDQR6zmNKfjm26RdqGQhR+GYWzyaKxEPAqqT58hZ9EivD/7FPvISEOXI/xIkiQWxS4ipTSFfRP24Wolnp9bvKJbkPID3NwPhdd1n3NpDwHh4D8E/ML0aoJ/T7OlUjfUQfFtKLyhW+HOvaBrmCWN7ted/MB3sO7P4R+mW91+CGVXZvNl0pdEp0djbWbNnC5zmN1lNnbm+qdM/5q6pITiVauo2LETY0tLXBYtwnnuHIytrPQaR5Ik0i4VcXbvXSpLlPh0cWbQ5CBcZN41rKyp5vxPAV3GJvQbN4H+j0/G3EpGQNeRTOqSfgzoivTFpp/8gK6rV68SFxdHdXU1Xbt2JSIiQgR0CUIjica4EX7dGFcn5FOx7y5tXh0g+2661uzCvl2c2vQ9i7/dhLW9WMVsThv+kYCLty1jFost/00p/69/per4CdqfOY2xnumpQvM5lHGIFadW8I/gfzC903RDlyM0l7pyuL4Trm7SbZHGCHwGQufHoNNYXTP5KFPVwr2rkHsRcs5BVrzuzwy6c8r+YeA3BAKGPnQrymnlaXyR9AWxWbHYm9szv9t8ZnaaibXZ/QdD1aenU/ThR1QfO4aphwduzz+Pw4TxGOkZhKVp0HL9ZC4XD2aiqlPTKcST4McDsJH5fk5RVMiZreu5FX8SawdHBk+bRbdhkXoHdNVnV6KIzkCVVYmphzUOY/yx7CAvoKu+vp6EhAQSEhLQarU/B3RZ6TmZIAitjWiMG+HXjXHZ9tso75Tj+VqwOMMhw76P3qUoM52nPv3O0KW0aIriOja+nkjY9A70GPZwrjI8irR1daQODsV+7Bg83xZn5B8Wdeo6HtvzGC5WLmwesxkTY3khO8JDLP8qnP0CkveCpl53Lrf3LOg6Cexa8LWJWi0UJUPGacg8DZnxUP9jSrZXH2gfpfvw6v3QnFFOLk1m1ZVVnMk7g4ulC4t6LGJKhylYmNz/YkLthQsUvv8BymvXsOjQAfdXXsYmNFTv92PKmgYuHsrk+vFcjE2M6BXpQ+9IH9m3N9xLvc3JjavJu5WCS1sfwmctwK9XX/0DupJLURzKQF2qvO+ArsrKyp8DuqysrAgPD6dfv34ioEsQfodojBvh141xwYcXMXW1wnVuVwNW9ej6esk8vDt2YdwLKwxdSouWfDqPE5tuM/PNYJza2Bi6nBZDER1N/ksv47NuHTbBAwxdjvCjL5O+5IurX7B21Fr6evQ1dDlCU9Fq4c5hSPwcss7o0p57PqFriD17QmucnNZqdCvKaXGQGqPbfo0E1q4QNALaR+oaZUvDhwJeKbrCZ1c+40LBBdrYtOGZHs8wPmg8Zsb3lxQvSRJVhw9T9NFKGnJysBkUgvsrr2DZubPeYymKazm7N520S0VY2ZsT/Jg/nQd5yjp+JEkSaecTObX5eyoK7uHTvRfhsxbICuiqPnuPqrgfA7r6eOAw0hcTe3kTCwUFBcTExJCeno6TkxORkZF07txZLO4Iwq+IxrgRftkYa5Vq8t9KxH6EL/YRPgau7NFTXVbK14vnMnTOIvqOHW/oclq0w9/coCBdwdz3BokXvyaUs3gJypQUgo7HiavGHhKFNYU8tvcxQr1D+WjoR4YuR2gKkgS3DsDxd6EoBezbwsBnoc8csBRHcP4/NaVw98cmOe0o1JWBibluq3Xnx6HjGLCRFzTVFCRJ4lzBOT67/BnXSq7Rzq4di3suZoz/mPve2aFVqajYsoWSL75EU1mJw+OP4fbCC5h5eek9VkG6gvidaRSkK3DytGHQpEB8u7nIev3UqBtIij1E4s4tKGuq6RoeQej02dg66/fvoK1t0AV0JeTrArqGtMVuSFuMZVw7JUnSzwFdxcXF+Pj4EBUVRdu2YkeZIPxENMaN8MvGWJlWQcl313Fd0A3LDk4GruzRk3o+gX0fvssTb7+PVwf9Z3aFxpG0EqtfOY1/d1ci5nUxdDkthrq8nNSwITjPmYPHilcMXY7wo9fOvMahjEP8MOEH2tmJFNZHmiRBaiwc/x/dncMuQRD+V912aROx/fNPaTWQc143qZCyDxTZYGQCfoN1TXKncWB//3cOyyFJEidzT7Lqyipul98m0CGQpb2XMsJnxH1P3moqKyn95hvK1m8AwHnuHFyefhoTO/3CvyRJIv1KMQl77lJZXEfbTk4MmhyEWzt5IWLK6mrO7d3OlUP7MDIxod+4SfR/fBLmlvqd9VWX1ukCuq6VYGxnhkOkH9b9PDCSce2URqPhypUrHD9+nJqaGrp160ZERAROTuI9rSC0ysbYyMgoDHgSMAW6SJI06I9+/y8b48oTOVQezsTz9YGY2NzfVqDW6NTmtVw6sJfn1m7HVIQWNZvi7Cq2v3uBEfO70DG4jaHLaTHKt26l4M238N+zW9aWPaHpJZcmM+PADOZ3m8/yvssNXY5wP4puweFXIf247p7foa9C92miIZZLknSTCzf36Zrk0lTd530HQ/ep0GV8kyR260sraYnJiuHzK5+TWZlJZ+fOvNDnBQZ53f/upoa8PIo//RTFD/swcXTEdclinGbMwEjP9xsatZYbp/K4EJ1Bfa2aTsFtCB4fgK2Tpay6KgoLOLNlHbcTT2Pj6MSgabPoNmwExnqumNdnVaKITkeVXYWphzWOYwNkL9LU19cTHx9PQkICkiQRHBxMWFiYCOgSWrVHrjE2MjJaA4wDiiRJ6vaLz48CPgFMgO8kSfp3I8aaAHhIkvT1H/2+XzbGpRtTUOXX4LlCXDMkx/a3/oZKqWTWeysNXUqLdvlIFol77jLvP4OxcRDJ6U0lc9YsNBUVBOzfL7anPwQkSWLe4XlkVmYSPTEaW3N5ATWCgdVVwIl/w/lvwMIWhv4d+i8EEzH53KSKb+uCy67v0DXJxma6M8k9pkKH0WB+/8nR+lBr1USnR/PF1S/Ir8mnf5v+vNDnBXq69bzvsZUpKRS+/z61iWcx8/HBffmL2I0cqffzdn1tA5cOZZF0PAcjIyN6jWhHnyhfzK3kTdbk37nFyQ2ryb9zE9d2vj8HdOlDkiTqbpSgOJSJpkyJRXtHHMcGYCYzS0ShUBAXF0dSUhJWVlYMHTqUfv36YaJnqrYgtASPYmM8BKgG1v/UGBsZGZkAd4BIIBe4ADyBrkl+71dDLJAkqejHr9sOPCVJUuUfPeYvG+N7753H3M8elyc6Nd0fqpXQajWsmj+DruHDiViw2NDltGj7PrlCjULFE/8MNnQpLUZDYSFp4UNxff453JYsMXQ5AnAi5wTPxT3H6wNfZ1rHaYYuR5AjZR9EvwS1JdB3Hgx7DWzE/dPNSpKg4Bpc2w43dkHVPV2oWadxupXkwGHwAFPdVRoVO+7s4Jtr31CmLGNYu2E83/t5gpyC7mtcSZKoOXOGov++T31qKpY9e+CxYgXWffUP56ssqePsD+mkXijEys6MAeP86RLqJTugK/VcPKc2r0VRWIBvj96Ez16Im4+ffuOotVQn3qMyLhtJqca6rwcOUfIDuu7du0dMTAwZGRk4OzsTGRlJp06dxCSw0Ko8co0xgJGRkR9w4BeNcQjwpiRJI3/8+d8AJEn6dVP8yzF8gNclSVr0Z4/3U2OsqVJx751zOIz1xy5MhBXoqzg7k/WvLGP00uV0GTLc0OW0WOoGDd8tP023MG9Cp7U3dDktRtn6DRS++y4BB6OxCNAvYVRoelpJy5T9U6hX17N3wt77TrkVHrDqIjj4MqT8AG16wPhVupRp4cHSaiArQbeKnLIXlAqw84KeM3TJ3y6BD6yU2oZaNqRsYG3yWmoaangs8DGW9FqCt633fY0raTQo9u6l+JNPURcVYRsRgftLL2ER4K/3WIWZlSTsSiM/tQKnNtaETArCr7u8gC51QwNJMdGc3bWV+tpaug4dweBpT8oL6IrLoTpRF9BlF94W2yFtMTaXF9CVmppKTEwMJSUl+Pr6EhUVhbf3/f0bCMKjoqU0xlOAUZIkPfXjz2cDwZIkLfuDMd4CjkiSlPA7v/408DSAj49P36ysLOpSSildn4Lbsz2w8BOpmPq6duwIsd98xvyVX+PsJZ5km0vOrTL2fXyVsUt74NddrLw0lcwnZ6GtrCRg/z5DlyIA0enRvHr6Vf4T9h/GBIwxdDmCPlL2wf7nQVWjO0c86HmxbfphoK7XXY11ZROkxYKkBZ8QXYPcZYJum/sDUKGsYPWN1Wy5tQWNpGFah2ks6rEIV6v7ez3T1tZStn49pd98i7a+HsdpU3FbuhRTV/3GlSSJjKQSEvfcpaKwFu8OjgyaHIS7r7zrseqqqzi3extXDh/A2NSE/o9Npv9jkzCz1O88s7q0DsXhTOqul2BsZ45DlC/WfeUHdF2+fJnjx49TW1tL9+7diYiIwNHRUe+xBOFR0lIa46nAyF81xgMkSXquKR7vpxVjRUwmVcdz8HprkKyZuNYu5utPST2XwJLVW8TWnGaUuOcuV2OzWfhRGOaWIrSmKTQUFpE2dCiuy5bitnSpoctp9Rq0DYzfOx4rUyt2PLYDYyNxbdYjoaEOjvwdLq4Br94w8Wtw62joqoTfUnkPrm2FKxuhNA3MbKDrRF2T7DPwgdwfXVBTwFdJX7E3bS/mJubM7jKbeV3nYWcuLyH6J+rSUko+/5zybdsxtrDA+amFuMybh7G1fmesNRotKafzOX8gA2V1Ax2CPRg4PhA7Z5kBXQX3OL1lHXfOnsHGyZnB02fRNTzivgK6zNrY4DDWH8v28gK6lEol8fHxJCYmIkkSISEhhIaGYqln0y4Ij4qW0hjrvZVaHz81xsVrbqCtVOHxlz5NMWyrs+6VZdg6OTP57/8ydCkt2s7/XMTICCavkP3/tfArZRs2UvjOOwREH8Ai8MFtLRR+2/bb23n77NusGr6K8Hbhhi5HaIyim7Bzge5O4kHPw/DXwVTcTPDQkyTd9U9XNkDyHlBVg2sH6LdAt93aqvmv+MlUZLLq6iqOZB7BwcKBp7o9xYxOM7A0vb/mrD49g+KVH1EVexRTNzdcn38Ox0mTMNIzdKq+Ts3lw1kkHcsBI+gZ0Y6+I+UHdOXdvsnJDd9xL/U2bj5+DJm9EL8evfUaQ5Ik6q6XoDj8Y0BXByccx/jLDuiqqKggLi6Oa9euYW1tzdChQ+nbt68I6BJanJbSGJuiC9+KAPLQhW/NlCQpuSker1+/ftKFCxe49/ZZLLu44DylQ1MM26qolHWsmjed4EnTGTztSUOX02I11Gv47sVT9Ir0IWSiaOCaStas2WgUujRqwbCUaiVjd4/Fy9aL9aPXi90nj4LkvbB3MZjbwMSvdEnIwqNHVaP7t7y4BvIugqkVdJusa5K9+zT7KnJKaQqfXv6U+Px43K3dWdxzMROCJmBqfH87o2ovXaLov+9Tl5SERfsg3F9+GZshQ/R+bqksrePcD+ncOa8L6Oo/1p8uYV6YyAzounM2ntObv0dRVIhfr76EPzkfVzkBXQn5VMblINWrsenfBvtIX0zs5E1K5efnc+TIEbKysnBxcSEyMpKOHTuK52GhxXjkGmMjI6MtwFDAFSgE3pAkabWRkdEY4GN0SdRrJEl6p6kes1+/ftLZI6cpeP8ijhODsA32bKqhW42clOtsf+tvTHz1DQJ6i6uumkvOzTL2fXKVcc/1xLerfgEewm9rKCrSpVEvXYrbMrGN2tDWJa/jg4sfsGbkGvq3Ec8lDzWtFk68C6feh7b9YdoGsBevny3CvSRdg3xtBzTU6ILT+i2AblOa/SzyhYILfHz5Y64VX8PX3pdlvZcR5Rt1X0cqJEmi6kgMRR99REN2NtYDB+L+ystYde2q91hFWZXE72y6gK6rRw5wdvdWVLV1dBseyeBps7Bx1G+lXlPTQFVcNtWJ9zAyNcIuvB22Yd6yA7pu375NbGwspaWl+Pn5ERUVhZeXl95jCcLD5pFrjA2hX79+0qnVBynbchv353pj7i3uytTX+R92cnrzWhZ/uwlrexFc1lzO7Uvn0uEsnhLni5tM2aZN/D/27jssqiv/4/h76L2DgDQRe8eGBbvYY6ImsURj1BTTjKb9UrZk0zamWmJiosaopBhL7IodxEYRFTtdkF6GzjAz9/fHmGw2u5swl3IFzut58uwqw5kvep2Z7z3nfE7u2+8QuHcPlkH1Oz5EqJ8qbRXjt4+no3NHvg77WulyhD9SUwY7noAb+w37Uid9AmbiTPUWp7oULm+FmA2QdwUsHaDnw4ZzqD26NNrTSpLEidsnWHlhJUklSXRx6cKS4CUM9h5cr9lLSaOh+IcfKVizBl1JCQ5TpuDxwhLMjUxl/o+Ark5ODJneAXc/efujq8pKObvjRxIO7cPUzIz+U6fTb/IDmFsat5y8tqCK0gOpVF0pxMTBAsewAGyCPWQHdMXFxXHixAkqKyvp2bMno0ePxtFRfMYTgNAy6AAAIABJREFUmi/RGNdBv379pCN/30r52WzavjUIlYxlMa3d7o/fIy89hUUr1yldSou246M4dLV6HnxNzKQ1lPS589AWF9F+716lS2n1tlzdwgcxH7Bx/Eb6tjH+LFKhiZTlQvgMyL0C4/8JAx5vkrAmQUG/7EWOXW9Ybq2rgcARMPAp6DAOTBrnc5NOr2N/6n4+T/icrPIs+rXpx5LgJfT26F2/ccvKKPzqa4o2bQK9Hue5c3F78glMjWz6dDo9VyLvELM3leqKWjoN9GTg1EDZAV3FOXeI+m4jt86dxs7ZhSEz59F12EjjA7rS1JTsS6X2dhnmXrY4TqxfQFdUVBRnz55FpVL9GtBlaSluhAnNj2iM66Bfv37S/kXrQS/h8XT9Xmxbq7WLH8WnS3cmPf+y0qW0WFqNjq+XRdJzhA9DZojzixuCNj+fW8OG4/b007g/9z9PfxOaQI2uhgnbJ+Dv4M83479RuhzhfylIgi3ToKIAHtoEHcR+4lanohDiN8L5dVB2B5zbwYAnoM8csGqc2USNTsO2m9tYe2ktRdVFjPAdwfN9nqeDc/3eC2uzs8lfsRL1rl2YODjg/vRinGfNQmVh3B5dQ0BXGhePZoIKeo/2JbgeAV2Z169wcvN6cpJu4u7fjuGPLMS/p3GfTyW9RNXlfNQH0tCV1GDVyRnHie0wbyMvoKu4uJhjx45x+fJlbG1tGTFiBMHBwSKgS2hWRGNcB/369ZN2TViBbX9PnO4TgUbGKisq4KvF8xn56OMET5yqdDktVtbNYn7+5AITn+5Ju57i/OKGUPz99+S89Q/a7d6FVUcRuqekH67/wLvn3uXrsK8J8QpRuhzhv8mMg+8eBFQwZyu0FbP6rZquFq7tgXNfwu1zYGEHvWfDgCfBrXG2pVTWVrLl2ha+SfyGitoKJgdO5pk+z9DWzril0L9Xfe0aeR9+SMXpM5j7+eGxbCn248YZH9BVUMXZXSncijEEdA2YEkjXIV6YyAzounE6kqjvv6U0P492ffoxbM5juPn6GzdO7d2AruMZSDU6bAd44jBGfkBXVlYWhw4dIiMjAzc3N8LCwujQoYMI6BKaBdEY10HfXsHSrgkrcHm4EzZ9PJQup9m5de40uz95j1lvf4R3x85Kl9NixexL5fzeVBZ9HIqljbnS5bQIGQsXUZuZSeDBA+JNXUG1ulom7pxIG5s2bJ6wWfxd3IvSoiH8QbBzh0d2gKu4iSz8RlY8nFsLidtBXwtBYyHkKQgc1SjLrEuqS9iQuIHwa+FISMzsPJPHezyOs5X846UkSaLi1Cnyln9Iza1bWPfujccrr2ATbNxRSgC5aaVEb7tFdpIaZ08bBk8Pwr+7zIAujYYLB/dwbudWNFVV9BgdxuAH58gL6DqaQfnZbFRmJtiP8MFuqPyAruvXr3P48GGKiopo164dYWFheHmJ8D3h3iYa4zoI7tJL2j11NW1e7Iu5u3EHwAtw6odNnN+1jee/3YaZkcuPhLr7+dML1FTW8vAbA5QupUXQlZVxc/AQXObNpc3LYguAkrbf3M7fz/ydNaPXEOoTqnQ5wu+lnITvZ4KjLzy6G+w9la5IuFeV5ULcNxCzHirywK0TDH4WejwE5vU7l/i/yanIYU3CGnYl78LGzIYF3Rcwp8scbMzlf5aTdDrUO3eSt2IFuvwC7MeNw2PZUiz8jZypvRvQdXpHEuq8Ktp2cmbI9CDZAV2VpWrObv+Bi4f3Y2puwYCpM+g7aarxAV35lagPplF9pRBTRwscwgKw6SMvoEur1f4a0FVVVUXv3r0ZNWoUDg4ORo8lCE1BNMZ10Ceoh7T3kbV4/3WQrBeG1m7nB2+hzstl/sdrlC6lxdJp9axbGknXUG9CHxJLfhuCet8+7rz4Ev7fhWMTHKx0Oa2WVq9lys4pOFo68v2k78Vs8b0m+Rh8P8uwj/TR3WAnVlUJdaDVwJWdcGYV5FwGWw8Y+AT0Wwg2Lg3+dEnFSay4sIITt0/gbu3O4t6LeSDogXqdgayvqKDwm40Url+PpNXiPGsmbosXY+Zs5EytTs+VyCxi9qZRXVlL57sBXXbO8m4UFN3JIuq7jSTFnMHO1Y2hD8+la+hIVEbOzNekqCnZn0JtZrkhoGtSIFZBTrJqqqqqIioqinPnzqFSqRg8eDBDhgwRAV3CPUc0xnXQy6+rdOSvP+K+qIfSpTRLXz39GG07dxXBW40oO6mEHR/FM/7J7rQXy/0bRNayF6k4e5YOUZGoRHiIYg6mHuTlyJf5bMRnjPYfrXQ5wm8lH4fvHga3DjBvF9iKbAPBSJIEqZFweiUkHQFzG+gzF0IWg0u7Bn+6+Nx4Po37lIT8BAIcAlgSvITRfqPrdcOtNi+PglWrKNm+AxNbW9yeegrnR+ZgYmTTV1NZS9zBdC4eu42JSkWvMXcDumQevZh5NZGTW9aTk3wLj4D2DJ+7EL/uPY0aQ9JLVF3KR33wbkBXZxdDQJeHvBn34uJijh49SmJiIra2towaNYrevXuLgC7hniEa4zro6dVZivrmII7jA5QupdmpKi9jzcJZhM6ez4CpM5Qup8WKPZDGuV0pLPhoKNZ2Yrl6fUkaDTcHD8F+XBje776rdDmtliRJzNw3k4raCnZN3YWpkUeSCI0oMxa+vQ+cA2D+3kaZ5RNamdyrcGY1XNoKkg663AeDnwefhg1x++UM5M/iPyNFnUJPt5680PcF+nvW75jD6ps3yfvoIyoiozD39sZ92TIcJk4weqa2QQO69Hqun4ni1N2ArsDg/gybswBXH1/jxqnVUxadRdnx20i1OmwHeOEwxg9TmZ83MjMzOXToELdv38bd3f3XgC5BUJpojOugp1dn6dyRU1h3E3fDjXX76mW2vvUa0157i3a9RUJpY9mzMoHykhpm/XWg0qW0COXR0dxeuAifNWuwHzVS6XJarZicGBYcWsBfQv7CQ50eUroc4Re5V+GbCWDtDAsOij3FQsMqzYbzayFmA9SowW8wDH4OOo5v0KAurV7LnuQ9rE5YTV5lHqFtQ1kSvIROLp3qNW55dDR5H35EzfXrWPXoQZtXXsamv/FNd06qmtPbkwwBXV62DJ7Wvl4BXfEHdnNu51Zqa6rpOXo8gx+cjY2jcUujdeUaSo9mUHEuG5W5KfYjfLEf6o3KXF5A17Vr1zh8+DDFxcW0b9+esWPH4ukpXk8E5YjGuA56enWWLly/iKmj2AthrPgDuzm+8Sue/HITds5iRqEx6HV61i2LolOIJ8Nn1e8NXTDI+cfblOzcScczpzGxavhAGKFunjn6DIkFiRyafggrM/H3cE8oToP14wz/f+Ehw4yxIDSGmjKI3wxn14D6Nrh2gKEvGIK6zBpuZVS1tprvrn/HusvrKNeUM6X9FJ7p/Qzedt6yx5R0OtS795D/2Wdoc3OxGzMaj2UvYhlo3PJwSZJITbgb0JVfhU9nZwZPD8LdV35A15lt33Px8H7MLS0ZMPVBgidNxdzCuM+3tfmVqPenUn2tCFNHSxzG+WPTW35AV0xMDCdPnqS6upo+ffowcuRIEdAlKEI0xnXQt0cfKe7yBaXLaJYOfbmC5LjzLP5qiwjNaSS5qaVs+yCWsEXd6NCvjdLlNHuSJJE0chRW3bvhu3q10uW0Wsklydy/636e7v00i3stVrocAaCiENaPgcoieOwAtOmqdEVCa6DTwtWfIfozQ1CXg48hyTp4HljYNtjTqGvUrE9cT/hVwxFPszrP4vEej+NkJS9wCkBfVUXRt99S+NXX6GtqcH74YdyefQYzF+MmCnRaPYmRWcTsS6WmUkvnEE8G3tceO2d5EzZFdzKJDN9IcuxZ7F3dGTprHl2GDDd62Xd1cgnq/anUZpVj3tYOx4ntsGov78+rsrLy14AuU1PTXwO6LMRpJkITEo1xHfTr10+KjY1VuoxmactrS7G0seHBv4h9mo0lPiKdMzuSmf/BEGzFqoZ6q0q8QtqMGXi99x5O0x5QupxW66/Rf+VA6gEiZkTU6+xRoYFoa2DT/ZAVB4/uAT+xbUNoYpIESUfh1CeQHg02rjBwMQxYZFjW30B+f8TTwh4LmdNlDtZm1rLH1BYUkP/555Rs/QkTKytcn3wSl3lzjV6RVFNZS+yBdC4dNwR09R7rR58wP9kBXbevXOLklg3kpiTRJjCI4Y8swLeb8QFdlRfzKT2Yhk5dg1UXFxwnyA/oKioq4siRI1y9ehU7O7tfA7pMGuG8a0H4PdEY14FojOXR63SsevRBeoVNZMS8RUqX02Lt/fwi6rwq5rwVonQpLUL+ypUUfLmWDtGnjD52Q2gY+ZX5jNs+jmkdpvFmyJtKlyNIEux8Ci79ANPXQw8RpCgoLOMsRH0Ctw6BhR30WwCDnmnQ/e6/P+Lp6d5Pc3/Q/fU64qkmJYW8jz6m/NgxzLy88HhhCQ5TpsgL6Po5mVuxeVg7WDBwSju6DJYf0HUt+iSnvt9EWWE+7fsNJHT2fFzbGhvQpaPs1B3KTtwN6BrohcNo+QFdGRkZREREkJmZiYeHB2FhYQQFBckaSxDqSjTGdSAaY3kKM2+z8cXFjH96Kd2Gi2NWGoNeL7H+xSiC+now8pHOSpfTIqRMvR9Te3v8t2xWupRWa2X8StZdXse+B/bh62DchzOhEZz8EI6/AyPfgOGvKF2NIPxLTiKc+hSu7AATc+gzx5Bk3YBHPf3+iKcXgl9glN+oem0Pqzh3nrzly6m+cgWrrl3xeOVlbEOMv7mdk6rm9LYkspPVuHjbMnhaEH7dXGTVVqupIX7fLs7v+onamhp6jZ3AoBmzsXFwNGocXbmG0iMZVJy/G9A10hf7IfIDuq5evcrhw4cpKSkhKCiIsWPH0qaN2DYmNA7RGNeBaIzluX46kn0rljP3g5V4BAQqXU6LlH+7jK3vxjDmsa50GiiSHOtLk5lF8pgxeLz6Kq6PzVe6nFapRlfD2J/G0tujNytHrVS6HOHqLtg6D3o+DA+sBZEVIdyLilIgeiUkhINeC92nw9Cl0KZbgwwvSRLHbx9nRfwKwxFP7j1ZGryUfp6yPz8j6fWU7ttH3qefor2Tjd3w4Xi8/BKWRs6KSpJEyoV8Tu9MpvRuQNeQGUG4+cgM6FKXcHrb91w6cgBzSysGPvAQwRPuw8zIvb61eXcDuq4XYepkieO4AKx7ucsO6Dp//jyRkZHU1NT8GtBlby/vZxSE/0U0xnUgGmN5or7/ltg9O3ju222YmZsrXU6LdPlEJpE/3GTuO4NwcJO//0kwKAoPJ/ftd2h/8AAWAQFKl9Mq7U7ezRun3uDrsK8J8RLbAxSVfwO+HgXuneGx/WAmMgyEe1xpNpz9HGK/AU05dJwAw1+Gtg1zXKRWr2V38m4+T/icvMo8hvkMY0nwEjo6d5Q9pr6mhuLNmyn4ci36ykqcHnwQ9+eexczNuCNCdVo9iSeziNl/N6BrkBch9wVi6yTv321h5m0iv/uGlLjz2Lu5EzrrUToPHmZ8QFdSCer9KdTeqcDcxw6niYFYBho3C/2LyspKIiMjOX/+PKampgwdOpRBgwaJgC6hwYjGuA5EYyzPjn/+nbKCfB796HOlS2mxDm+4QuaNYub/c4hI/W4AGU8+SW1aOu0PHVS6lFZr1t5ZVGgr2DV1l7imlVRTZmiKK4vgyUhwbKt0RYJQd5VFcP5rw1FP1SUQNNawDcB3QIMM/9+OeHq297N42XnJHlNbXEzB52so/uEHTCwscFm0ENf58zGxMS7EqrqilrgDaVw6kYmJyd2ArrHyA7oyEi9ycvMG8tKS8WzfgeGPLMSna3ejxpD0EpUX8ig9lIauVINVV1ccJwRg7i4voKuwsJAjR45w7do17O3tGTVqFL169RIBXUK9ica4DkRjLM/ap+fj26U7E597SelSWqzNb57G3dee8U/2ULqUZk9fVcXNkEE4PfwQnq+/rnQ5rdKl/EvM2T+H1we+zqzOs5Qup/WSJPjpUbi2B+btgnbDlK5IEOSpKYOYdXB6FVQWQuAIGP4q+A9ukOHVNWrWX15P+LVwAMMRTz0fx9FS3owoQE1qKvmffErZ4cOYeXjgvmQJjvdPRWVq3B5ddb4hoCspLg8bBwsG3hdI58FemMhYyizp9VyNOs6pHzZRXlRIUP8QQmc/hou3cTfM9Bod5aeyKDuRiaTVYxfihf1oP0xt5a0qTE9PJyIigqysLNq0acO4ceMIDBRb9wT5RGNcB6IxNl5VeRlrFs5i2JzH6H/fdKXLaZEq1DVsfDWawdOD6DPWT+lymr3ykye5/eRT+K5bh93QIUqX0yq9FvUax28f5+iDR7E1b7jzSQUjnV4FEW/C2H/AkCVKVyMI9aepgNgNhn3IFXkQEGqYQQ4IbZB98zkVOXye8Dm7k3dja27L4z0eZ3aX2Viayt9+UBkXR+4Hy6m+dAnLTp3weOVl7IYY/96Uk6ImelsSOSmGgK4h04Pw6+Yqq6bammri9+/m3M8/oavV0GvsREKmzzQ+oKtMQ+mRdCrO56CyNMVhpB92g71RmctI1ZYkEhMTOXLkCGq1mg4dOjB27Fg8PDyMHksQRGNcB6IxNt7tK5fY+o/Xmf7aWwT0bpi9PcK/S7mQz4G1l5n+Sl88Ze7XEf4l5x9vU7JzJx3PnsHEUuylbGoFVQWM3TaWhzo+xGsDX1O6nNYrMw42hEGnCfDQZhG2JbQsmkqI/xaiV0BZNviGGBrk9qMa5Fq/VXyLz+I/IzIzEi9bL57t8yyT2k3C1MT4RGYwNH1lBw6Q98mn1GZmYhsaisdLL2HVybg9zZIkkRyfz5mdSZQWVOPb1YXB04Jw87GTVVdFSTFntn3HpSOHsLC2ZuADD9Fn/BTjA7pyKwwBXTeKMXW2xHF8ANY93eWlatfW/hrQpdFoCA4OZuTIkdjZyfsZhdZJNMZ1IBpj48Xv38Xxb7/mqbWbsXUSZ8E2hujtSVw6fpsnPh2OqYy7rMK/SJJE8pixWHbsiO8Xa5Qup1Vae3EtqxNWs/v+3bRzbLijVgQj1JTBl6GGVN+nosBavHYLLVRtNVzYDKc+g9JMQzjX8FehQ1iDNMjns8/zSdwnXCm8QifnTizru4zBbeUv39ZrNBSHf0fBF1+gLy/HcdoDuD/3POZtjJsV1dXquXwyk9j9adRUaekyyIuB9QroyiAy/BtS4mNwcG9D6Kx5dBo8zOjGtvpWMep9qdTmVGDua4/TpHZYBsi74V9RUcHJkyeJjY3FzMyMoUOHEhISIgK6hDoRjXEdiMbYeAe/+IyU+BgWf7VFBOg0kh0fxiFJEtNfkX9chGBQk5JCysRJeP79bzjPnKl0Oa1Orb6W8dvHE+QUxNqxa5Uup/Xa+RRc+hHm7wf/QUpXIwiNT6uBi99B1MdQkgFevWDYK9BpItQzyEkv6TmUdogV8SvIKs8ixCuEZX2X0cW1i+wxdSUlFHy5lqLwcFRmZrg+9hiuCxdgYmvc1pPqilpiD6Rx+XgmJqYq+oz1o0+YP+aW8ma20y8ncHLzevLTU/EM6sjwuQvx6WzcUVmSXqIyPhd1RDr6Ug3W3VxxnNAOM5knbhQUFHDkyBGuX7+Og4MDo0aNomfPniKgS/hDojGuA9EYG2/Lay9gaWvHg2++o3QpLZJOq+frFyLpMaItQ2Z0ULqcZq/wm43kffABQceOYu7trXQ5rc7RjKO8cPwFVoxcwSi/UUqX0zpd+gl2LILh/wcjxVJ2oZXR1RpuCkV9bDgTuU13GPF/0HlyvWeQNToNW29sZe2ltZTUlDA5cDLP9XkObzv57zWajAzyPv2UsgMHMXV3w/2553CaNg2VmXHJ0+r8Ss7sTCE5Pg8bx7sBXYPkBXTp9TquRZ34NaCrw4DBhM5+FGcvGQFdkZmURWYi6STsQrxwGO2HiY28gK60tDQiIiK4c+cOnp6ejBs3jnbtxKok4b8TjXEdiMbYOHqdjpWPzqD3uMmMmLtQ6XJapJxUNds/iGP8E91pHywCJuor/bHH0BUUErhnt9KltEpPH3maG0U3ODTjEGYm8o4UEeqhOB2+GAJtusH8fWAq/g6EVkqnhcTtELkcCpPAsweMeN2w576eDXKZpowNiRvYfHUzeknP7M6z651gXZWQQO7yD6mKj8eyQxAeL72E7TDjlzJnJ6uJ3naL3NRSXNvaMnh6EH5d5Qd0xe39mfO7tqHT1tI7bBIh02dibe9g1Di60rsBXTE5qCzNcBjti90gb1Rmxs/46vV6EhMTOXr0KGq1mo4dOzJ27Fjc3d2NHkto2URjXAeiMTZOYWYGG198mvFPL6Xb8NFKl9MiJRzJIHpbEvP/OUT23iDBQFdewc1Bg3B9dB4eL4mjxZpaTkUO47aPY2H3hTwf/LzS5bQ+ej1sngpZF2BxNDj7K12RIChPp4XEbXDin1CcCl69YeTrDbIH+ZcE611Ju7CzsOOJHk8wq8ss2QnWkiRRdvgweR9/TG16BjaDQmjzyitYdTFuyfbvA7r8uroweHoQrm3lB3Sd3hrO5WMRWNhYE/LAw/QePwUzc+NmfmtzKijZn0rNzWJMXawMAV093GQHdJ07d46oqCg0Gg39+vVj+PDhIqBL+JVojOtANMbGuR59kn0rP2TuByvxCBDnyTWGg19dJi+9jHnvNsxZjK1Z6eHDZD33PH6bvsV2wACly2l1vkj4gjUX13Bg2gF87H2ULqf1iVkH+16EKSug73ylqxGEe4tOa1hiffIDKEk3hHSNeB2CRte7Qb5ZfJPP4j4jKisKL1svnuvzHJMCJ2GikrcHVtJoKP7hRwrWrEGnVuM4dSruLyzB3NPTqHF+G9ClqdLSZbAXA+4LxNZRXuNekJFGZPg3pCbE4ejRhtDZ8+kYMtT4gK6bxaj3p1CbU4mFnz2OkwKx9DduFvoXFRUVnDhxgtjYWMzNzQkNDSUkJARzI5t2oeURjXEdiMbYOFHfbSR2706e37QNUzPxItPQJEni2/+LxrujM2ELjQu3EP5T9l/+SumBA3Q8cxqVeFNsUjq9jvE7xtPOoR1fhX2ldDmtT3E6rBkEvgNg7k5xNJMg/C+6Wrj4PZz8ENQZ4DPAsBc/cGS9/92cyz7HJ3GfcLXwKp1dOrO071IGe8u/6a0rLaXwq68o2mQ4bs3lsfm4LlqEqZGzotUVtcTuS+PyyUxMzEwMAV1j/WQHdKVdukDk5vXkZ6Th1aETw+cuom0nI2e19RKVcbmoI9LQl9Vi3cMNx/EBmLnKC+jKz8/nyJEj3LhxA0dHR0aPHk337t1FQFcrJhrjOhCNsXF2vP83yooKefTD1UqX0iKVFVWz6fXThD7ckZ4jxQxbfUiSRPLoMVh27YLvanG9NrWozCiePvo0Hw3/iHEB45Qup3X57RLqp8+Ak6/SFQnCvU+rgYQtEPmx4Zgnv0GGJdbthtVrWL2k52DqQVZeWElWeRaDvAaxrN8yOrt0lj1mbVYWeZ+toHTPHkxdXHB/7lmcZsww+gZwSV4lZ39OJjk+v0ECuq6cPEr0j1uoKC6i48AhhM6ej5Onl3Hj1Ogoi8ykPDITSS9hN8gbh1G+sgO6UlNTiYiIIDs7G29vb8LCwggICJA1ltC8ica4DkRjbJy1ix/Ft1tPJj77otKltEi3YnOJWHeFh17vj7ufvdLlNGuatDSSx0/A829/xXnWLKXLaXVeOP4CF/IucGTGEcxNxWx9k4pZD/uWweTPoN9jSlcjCM2LtgbiNxlSrMuywX+oYQY5YGi9htXoNPx440fWXlpLaU0pkwMn82yfZ+uVYF11OZG85cupjInBIjAQj5dexG7kSOMDupJKiN6edDegy44h04Pw7eoiq6ba6mpi9uwgZs929FodfcZPYuC0mVjbGfeZRqeuQX04ncq4XFRWZjiM9sMuxEt2QNfly5c5evQopaWldO7cmTFjxuDm5mb0WELzJRrjOhCNcd1VlZWyZtFshs15jP73TVe6nBYp6sebXI2+w+OfDsPEVCz3qY+i8HBy336H9ocOYuEvQoeaUkFVAWN/GssjXR/hxX7iJlqTKs2G1f2hbTDM2yWWUAuCXLXVEP+toUEuzzXMHI94vd7ngJdqSll/eT3h18KRJInZXWazqMci2QnWkiRRfvw4eR9+hCY1FZv+/fF45RWse3Q3epykuDzO7EymrLAav24uDJ4mP6CrvLiI6B+3kHjiMFY2toRMn0mvsElGB3Rp7pSj3p9KTVIJpq5WOI5vh3V3V1kBXRqNhrNnz3Lq1Cm0Wu2vAV22Rp4VLTRPojGuA9EY111G4kV+evsNpr/+DwJ6BStdTov00/sxmFuacv8y8edbX7efeZaaGzdofzhC1huoIN+6y+tYEb+CPffvIcAxQOlyWpefHoPr+wxLqF3bK12NIDR/tVUQuwFOfQoV+Ya9xyPfAN/+9Ro2pyKH1RdWszt5N/YW9jzR8wlmdp4pP8G6tpaSbdvIX7UaXVERDlOm4PHCEszbGnfWsK5Wz6UTmcQduBvQNcSbAVPayQ7oyk9P5eSWDaRfuoBjG0+GzZ5Ph4FDjHpfliTJENC1LxVtXiUW/g44TmqHpZ+8gK7y8nJOnDhBXFwcFhYWhIaGMnDgQBHQ1cKJxrgORGNcd3H7dnFi09c8tXYztk7OSpfT4tRqdKx7IZI+YX6E3C8+0NaHVFvLzZBBOEyahNc/3lK6nFZFkiTu+/k+XKxc+HbCt0qX07okHYUt0wyzWiNeVboaQWhZNBWGbQrRK6CyADqONzTIXj3rNeyNoht8Fv8Zp7JONUiCta68nMKv11G0cSNIEi7z5uL6xBOYOhjXRFaX1xKzP5XEE1mYmJsQHOZH7zH1COhKiOPklg0U3E7Hu2MXhs9diHdH4/ZZSzqJitgcSg+noy+vxbqXO47jAjBzsZJVU15eHocPH+bWrVs4OjoyZswYunfvLm6mt1D1bYzFOk7h3+Snp2Lj6CSa4kYUKCDqAAAgAElEQVSSn16KXi/hGShvOZXwL1WXL6OvqMB2yBClS2l1LhdcJq00jfuD7le6lNaltspwNJNrEAx9QelqhBYuPDycgIAATExMCAgIIDw8XOmSGp+FLQx5HpZchFF/gYwzsDYUfpoP+TdlD9vJpRNfjPmCr8O+xsnSiddPvc7MvTM5c+eMrPFM7ezwWPoC7Q8ewGHiRArXbyA5bBxFm7cgaTR1HsfKzpzQhzoy628D8e/qwvk9qYT/9QzXTmej1xs/cRbQuy9zl68k7MnnUefl8P1fXmLPZx+gzsup8xgqUxV2A73wfLkf9qN8qb5aSM7HsZTsT0VfpTW6Jg8PD+bMmcO8efOwsrJi+/btrFu3jvT0dKPHElo+MWMs/JvN/7cEa3sHZrzxttKltEhxB9M4+3MKCz4airWdhdLlNGv5K1dR8OWXdDxzGlNHcaOhKb1z9h1+TvqZEw+dwM5C3t40QYbj7xnOY523CwJHKF2N0IKFh4fzxBNPUFlZ+evv2djY8NVXXzFnzhwFK2tiVSVwehWc/QK0VdBrFgx/FZzlZ1roJT0HUg+w6sIqssqzGOw9mKV9l9Yrwbr62jVyly+n8sxZLPz9cX/pRezHjDF6VvROUgnR25LISyvF1eduQFcXeQFdmuoqYvfsIGbPDiSdjt7jpxDywMNYGXnslFZdQ2lEOpXxuZhYGwK6bEO8UMnIaNHr9Vy6dImjR49SVlZGly5dGDNmDK6urkaPJdybxFLqOhCNcd3odTpWPjqDPuOnMPyRBUqX0yLtW3OJktxK5rwVonQpzV7awzORkGj3449Kl9KqaHQaRm4dyZC2Q1g+bLnS5bQehcmwJgS6ToXp65SuRmgh9HqJ0upaiitrKa7UUFKpobpWz/xx/cnPzvqPx7t7teXbQzHYWprhZGOOo7U5TtYW2FuZyTr+p9kozzfsP45ZB5Ie+j4KoS+Bg3HHFP2WRqfhh+s/sPbSWso0ZfVOsJYkiYqoKHKXL0eTlIx1cDBtXn0F6169jB4nKfZuQFdRNf7dXRk0rT2u3vJugpYVFXB6aziJJ45gZWvHoOkz6RU2EVMzIwO6sspR70+hJlmNmZs1jhMCsOoqP6DrzJkznDp1Cp1OR//+/Rk+fDg2NjZGjyXcW0RjXAeiMa6bgtvpfPvSM0x4Zhldh41SupwWR5IkNrx8ioAerox+tKvS5TRrutJSboYMwvXJJ/BYskTpclqVI+lHWHpiKV+O+ZIhbcUy9ibz/WxIPQnPxYN9G6WrEZoRrU5PakEFV7NLScmvILO4itvFlWQVV5FTWo3uvyyZTf9gCvDfPh+q8H91z3/+rgrc7SzxcrTCy9EaT0crvJ2s8HOxpb27Lf6utljIOILnnqPOgsgP4cJmMDGDAY/DkKVgK3/GUV2jZn3iesKvGpaqz+kyh4U9FspPsNZqKdmxg/xVq9DlF+AwcQLuS5di4WvcWefaWh2Xj2cReyCN2motXYZ6M3BKIDYO8la75aWlcHLLBjIuJ+DUxovQOfPpMGCw8QFdN4pR709Bm1eFRTsHnCYGYuEr7+jLsrIyTpw4QXx8PJaWlgwbNowBAwZgZmYmazxBeaIxrgPRGNfNteiT7F/5IfOWr8Ldv53S5bQ4JXmVhP/1LCPmdKJbqHEJksK/K42IIOv5Jfhv2YxNP9mvf4IMzx97nsSCRCJmRGBmIj48NImUE7BpKoz+G4QuU7oa4R4mSRKZxVXEpBURk1bE5Sw1N3PL0Wj1gKGB9XSwwsfZGl9nG7ycrHCxtcTZxhxnGwucbMyxtjBldP/u3Mm8/R/je/v4cvhcIhUaLerKWkqqalFX1aKu1JBbWsMddRXZ6mqyS6qo0Oh+/T5TExW+zta0d7cjqI0d3bwd6e7tQICrbfOcaS5KNWxruPQjmNvCoKdh0DNgJX9bT3Z5NqsTVrMneU+DJFjrKyoo3PANhRs2IGm1uMyZg9tTT2Lq5GTUOFXlGmL3pZF4MgtTcxOCx/nRa4wf5hbGB3RJkvRrQFdhZgbenboyYu5CvDp0Mm4cnURFzN2AroparHvfDehylhfQlZuby+HDh0lKSsLJyYkxY8bQrVs3EdDVDInGuA5EY1w3kd9tJG7vzzy/6Sejl7gIf+7GuRyOfHOVh98cgJuP2JdZH9l//zulu/fQ8dxZVOLohSZTVF3E6K2jxdnFTUmnNYT/aCrgmfNgLu+Dn9ByqatqibyZz/HreZxOLiSntBoAeyszevs60cXLgc6e9nTxciDQ3RZLsz9vaOq7x1iSJEqrtaQXVpCcX05K/r//b63O8NnT1sKUrt4OdPN2pLevE/0CnGnrZN18GpK863DiPbi6C6ycDKF4A54whHjJdKPoBp/GfUr0nWi8bb15Lvg5JrabKDvBujY3j/xVK1Fv34GJgwNuTz2F85zZmFgYN/NbklvJmZ3JpCTkY+tkScjUQDoN9EQl48aGXqcj8fhhorduoVJdQqfBwwidNQ9HD0/jxqnWUnYyk7KoLEDCfkhb7Ef6YmIl76ZtcnIyhw4dIi8vDx8fH8LCwvDz85M1lqAM0RjXgWiM62b7+3+joqiQeR+uVrqUFilq602unrrD458Ow0RGaITwL0ljw7Bs3x7fL79QupRWJfxaOP88/0+237edjs4dlS6ndYjdAHuXwkObDPuLBQHIL6thz8U7HLqSQ2x6MTq9hLONOUOC3BjYzoV+AS50amNfr9nY8PBw3njjDTIyMvDz8+Pdd99tkOAtjVbPrbwyrmSVknhHzZU7pVy9U0pVrWGG2cvRir7+zvQPcKGvvzNdvBwwvddnle8kwPF34VYE2HrAsJeg73wwkzfbC3Dmzhk+jfuUa0XX6OralRf7vsgArwGyx6u+cZO8jz6iIioKcx8fPF5chv348cYHdN0qIXrbLfLSy3DzNQR0+XSWGdBVVUnM7u3E7v0ZSa+jz4T7GPjAQ1jZGhnQVVJN6aF0Ki/kYWJrhsMYf2wHeMoO6EpISODYsWOUl5fTtWtXxowZg4uLvJ9RaFqiMa4D0RjXzdqn5uHXvRcTnhUzQY1h+/JYVCYqpr3UV+lSmjVNZibJY8bS5vXXcZk3V+lyWpWZe2eil/RsnbJV6VJah2o1rOwD7p1h/j7DOlih1arS6DiQmM3PCXc4dSsfvQSd2tgzpqsHozp70NvX+d5vIP8HnV7iek4psWnFxKYXE5tWRLbaMPPtaG3O4PauDAlyI7SDG/6u8mdjG13GWTj2DqRFgYMPDH8Fes8BU3kzmHpJz76Ufay8sJKcihyG+QxjWd9ltHdqL7vE8lPR5H34ITU3bmDdqxcer76KTXAfo8aQ9BK34nI5uzPFENDVw5XB04Jw8ZL3d1NWWED0j1u4EnkUKzt7Bk2fRa+xEzA1cq+vJrOMkn2paFLVmLlb4zihHVZdXGStQKipqeHMmTNER0ej0+kYMGAAw4YNEwFd9zjRGNeBaIz/XGWpmi8en8OwRxbQf8o0pctpcXQ6PV8viaTHiLYMmdFB6XKatZJt28h+8y8E7tmNZQfxZ9lUUkpSmLprKi/3e5l53eYpXU7rEPEmnF4NT5wA795KVyMoJK2ggs1n0/kp9jal1Vp8nK2Z2tub+3u3pUMbeaFDzUFWSRWxaUVEJxVw6lYBd+42yr4u1gwNcmNYB3eGdnDD3uoe204jSYZcgGNvQ1YcuATCiNeh+3QwkbdarFpbTfi1cNZdXkeltpJpHabxdK+ncbdxl1eiTof6513kr1iBNi8P+3Hj8HhxGRZGLhvW1uq4dCyTuANp1Gr0dB3qzYDJ7WQHdOWmJhO5ZT0ZiZdw9vImdM5jBPULMT6g61oR6gOpaPOrsAx0xHFiOyx85P1bKS0t5fjx41y4cAErKyuGDx9O//79RUDXPUo0xnUgGuM/l345gW3vvMn0N94moKdxdw6FP5efUcbW92IIW9SNDv1Eomx9ZL38ChWnT9PhVFTz2YfWAnye8DlrL67l6INHZX8YE4ygzoSVwYYP0w+ILQOtjSRJnEst4osTyZy8mY+ZiYrx3T2ZG+LPgHbyZsCaM0mSSC2o4FRSAVG3CjibXEhZjRZzUxUhga6M6dKG0V088HG+h2bzJAluHDAssc5NhDbdDQF6HcbKXv1RXF3M2ktr+fH6j5ibmvNYt8d4tNuj2JjL+7n1lZUUfvMNhes3INXW4jJ7Fm6LF8sK6IrZl8aVXwO6/Ok1xld2QFfqhVhObtlAUdZtfLp0Z/gjC/AMMm77jqTTU3E+h9Ij6egrtNj08cBhXABmTvKWt+fk5BAREUFKSgrOzs6MGTOGrl27trp/i/c60RjXgWiM/1zcvp85sWkdi7/ago2jcS+Iwp9LjMzi5Hc3mPvOIBzcrJUup9mSJImk4SOw7huMz6efKl1OqyFJEvf9fB8eNh6sH7de6XJah13PGhJvn4sDJxH+0lpIkkTkrQJWH7tFTFoxbnaWzA3xZ9YAXzwcRPDaL7Q6PXHpxRy9nseRa7mk5FcA0NnTnrFd2zC2axt6tHW8N5oWvR6u7DAssS5OBb9BhgbZf5DsITNKM/gs/jMOpx/GzdqNZ3o/w/1B98s+KaA2L4+CVasp2b4dEzs73BYvlh3QdXpHEqkXC7BztmTg1EA6DZAf0HX52CGit4ZTVaqm85DhhM56FAd3D+PGqdZSdvw2ZdFZgAr70LbYD/eRHdB169YtIiIiyM/Px9fXl7CwMHyNPApLaDyiMa4D0Rj/uYNrPiU1IY7FX21RupQW6eima6RdKmDBh0PvjTfqZqomNZWUCRPx/PvfcJ45U+lyWo1rhdd4aO9D/G3Q35jRcYbS5bR8+TdhzUAY+BSMf1/paoQmcj61iPf2XyPhdgnejlY8NaI9D/Xzxcrc+Fm31iYlv5yj1wxN8i9hZL4u1kzs4cXkHt50b+ug/HuvrhbiNxmOeSrPhY7jYdRfwLO77CET8hL4OPZjEvITaO/YnmX9lhHaNlT2z1p98yZ5H94N6PL1NQR0jRtn9HhZN4s5vT3pXwFdMzrg08lZVk01lYaArri9O5GQCJ44lYH3P4iljXH7mbXF1ZQeSqMyIR8TO3NDQFd/T1Smxv9Z6XQ6EhISOH78OOXl5XTr1o0xY8bg7CzvZxQajmiM60A0xn9u86tLsHZwYMYbbytdSov0/T/OYe9ixeRneyldSrNW/MOP5Pz97wTu349loDhru6l8EvcJm69s5vhDx3GyEitKGt3WeZB0FJZcBFs3pasRGllyfjn/PHCdw1dz8XSw4oUxHZgW7IOFmTi9QI6SSg2Hr+ay73I2p24VoNVL+LnYGJrknl5081a4SdZUwrkvIfozqC6FHg/CyNfBRd57miRJHMk4wmdxn5FRlsEAzwG82O9Furp2lV3ivwV09e6NxyuvyAvois3lzM/JlBfVENDDlUH1COgqLcgn+sfNXI08hrW9A4MenE3P0eOND+i6XUbJvhQ0aaWYeVjjODEQq07OsgO6Tp8+TXR0NJIkMXDgQEJDQ7G2FisDlSIa4zoQjfEf02m1rHp0Bn0m3MfwRxYoXU6Lo6nW8vXSSPpPaseAyaKZq4+sZcuojIklKPKk8nf/WwlJkhi3fRxBTkGsGbNG6XJavqw4+HoUDP8/GPma0tUIjaiiRssnh2+y8XQa1uamLB7RngVD2mEtY1+m8N+VVGqIuJrLvkvZRCcZmmR/Vxum9m7LtD5tCXBTMOG6qhiiV8DZL0GvNRzvNOxlsJeXQ1Krq2Xrza18efFLSmpKmBQ4ief7PI+3nbes8QwBXT+T/9kKtPn5DRbQ1W2oN/3rE9CVksTJzeu5ffUyzl5tGTbnMdr3G2h8QNfVQtQH0tAWVGHZ3hHHSYFYeBt3TNQvSktLOXbsGAkJCVhbWzN8+HD69esnAroUIBrjOhCN8R8ryEjj25efZcKzL9I1dKTS5bQ4WTeL+fmTC0x+thf+3V2VLqfZkiSJW6HDsA0Joe1HHypdTquRkJfA3ANzeW/oe0xpP0Xpclq+TVMh5zI8nwBWDkpXIzSSw1dz+duuRO6oq5k1wI8XwzriZif/zFvhz5VUaoi4ksvui3eITi5AkiDYz4kHgn2Y0tMLJxt5jVq9lWZD5HKI+9Zw7nHIYhj8PFjLW51Tpilj/eX1bLm2BUmSmNN1Dot6LMLBQt7ryX8GdM3GbfFTxgd0lWmI2ZtKYtQdzCxM6Dven16jfDGTGdCVEn+ek1u+ofhOJj5duzP8kYV4tjfupApJp6fibDalRzPQV/0moMtR3r/F7OxsIiIiSE1NxcXFhbFjx9K5c2dxI78Jica4DkRj/MeunTrB/lUfMe/D1bj7BShdTosTH5HOmR3JLPhoKNZ2Cr3xtgA1SUmkTJ6C59v/wPnBB5Uup9V4/9z7bL+1nRMPncDOQt7ddKGOUqPg28kw7j0Y9IzS1QiNIL+shr/8nMjBKzl0amPPe9N60Ndf7EtsatnqKnYl3GFnfBY3csswN1UxqrMHD/TxYWRndyzNFJi1L0w2JFgnbgcrJwhdBgOeAHN5y3JzKnJYdWEVe5L34GjpyJM9n+ThTg9jbirveCtDQNcqSrbvwMTeHrfFT+E82/iAruKcCs7sTP41oCtkaiAdZQZ06bRaLh+L4PRPhoCuLqEjGTpzLg5uRgZ0VWkpPX6b8ugsVCYq7H4J6LI0fsZXkqRfA7oKCgrw8/Nj3LhxtG3b1uixBOOJxrgORGP8xyLDvyFu3y6e3/QTpmb32HmALcDBry6Tn1HG3HcGK11Ks1YUHk7u2+/QPuKQ0Uu5BHl0eh2jfxpNcJtgPhnxidLltHwbJ0PBLcPeYnORQNzSHLmay6vbL1FWo+WFMR14PDQQc1Oxj1hJkiRxNbuUHfFZ7Eq4Q0F5DU425jzQpy0z+/vRyVOBc6KzL8LRtyHpMNh7w4hXofcjYCpvWe61wmt8EvcJZ7PP4mvvy5LgJYT5h8kP6Lpxk7yPGiCg60Yx0duTyM8ow93PniHTg2grO6CrgvO7thG372dUqAieNJUBUx/E0sa4Y6y0RdWoD6VRdfFuQFeYP7Z95Qd0XbhwgePHj1NRUUGPHj0YPXo0TkbOtAvGEY1xHYjG+I9tf++vVJQUM2/5KqVLaZE2vX6aNoEOjFskP3lSgMznl1CVeJmgo0fFsqQmci77HIsiFvHx8I8JCwhTupyWLf00fDMBxr0Pg55WuhqhAVVqtLy99xrfn8+gi5cDK2b2pmMbBRou4Q9pdXqikgrYFpfJ4Su5aHR6+vg5MbO/L5N7emMrY/awXtJOwZG3IPM8uLSHUW9C1/vBxPibKZIkEX0nmo9jPyapJIme7j15qd9L9PEwLlDrt8pPRZO3fDk1N28aArpefQWbPsYHdN2MyeXsz8mUF9cQ0NONwdPa4+wpN6Arj1M/bOZa1HGsHRwZ/OAceo4eh4mpcSsAajJKUe9LRZNeilkbGxwntsOqo7yArurqaqKjozlz5gySJBESEkJoaChWVuLmZ2MQjXEdiMb4j3351Dz8e/RmwjPLlC6lxakq17DhpVMMmtae4DB/pctptiS9nluDh2A3YgTe/xTH1zSVt868xf6U/Zx4+ATWZiJls1Ftuh9yE2HJJbAwbpZDuHcl5ZXx5OY4UgoqeGJYIMvGdlRmma5glKIKDTviM/kh5jZJeeXYWphyX29vHu7vRy+fJjwfWZLgxgE4+g/IvwZevQxnILcfBTJq0Ol17ErexeoLq8mvyme032heCH6BAMcAeeX9PqBr/Hg8li01PqBLo+PisdvEHUxHq9HTLdSbAZPbYW0vb/tZTvItTm5eT+a1RFy8fRj2yAICg/sbHdBVlViI+mAqusJqLDs44TihneyALrVazbFjx7h48SI2Nja/BnSZGtm0C39MNMZ1IBrj/62yVM0Xj89h+CML6DdlmtLltDgZVwrZs+oiU5f2kX2GnwDVN26QOvV+vN5/H6cH7le6nFZBp9cx6qdRDPQcyPLhy5Uup2W7fR7Wj4Wxb8OQ55WuRmgg+y9n8/JPF7EyN2XlrD4MCRJHbzU3kiQRn1HMD+dvs/dSNlW1Ojp72jNrgB/Tgttib9VE28/0Orj8k2EPckkGBITCmL+Dj7zP/5W1lWy6uolvEr9Bo9PwYKcHearXU7hYucgrr6KCwm82Urh+PZJWKzugq7JUQ8y+VK40UEBXcuw5IsO/oTg7C99uPRk+dyFt2rU3bhytnvK7AV1StRabvm1wDPPH1EFeQNedO3eIiIggLS0NV1dXxo4dS6dOncRKuAbS4htjlUoVCLwBOEqSNOPu79kCawANcEKSpPA/GkM0xv9b+qUEtr37JjPeeAf/nr2VLqfFiT2QxrldKSz6dBiW1iK2X66iTZvIfe99go4dxdxb3tETgnFicmJYcGiBWEbdFLbMgDvxhtliSxFw1txpdXo+OHidr6NS6ePnxJo5wXg5ihUXzV1ZdS17LmbzQ0wGlzLV2FiY8kCftswbFNB0e5G1NRC3EU4uh8oC6DzZsMTao4us4QqqCvgi4Qu239qOlZkVi3os4pEuj2BlJm+Zb21uHvmrVqLevgMTB4d6BXSd3pFM2qUC7FwsCZnano7928gO6Lp05ACnt31PdXkZXUNHMuThuTi4uRs1jr6yltJjtyk/c8cQ0DXMB/thPphYymvab968SUREBIWFhfj7+xMWFiYCuhrAPd0Yq1SqDcBkIE+SpO6/+f3xwArAFFgnSdI/6zDWtt80xnOBEkmS9qhUqh8lSXr4j75XNMb/W+zenZzcvJ7FX4dj4+CodDktzoEvL1OYVc4jbw9SupRm7fYzz1Jz8yZBhyOULqXV+CWNOvLhSGzMxdLeRvPLucWj/2ZIoRWatfIaLc9+F8+JG/nMDfHnL5O7YmEmArZamkuZJWw6k86ei3eo0eoZ0M6FeYP8GdfNs2kC1WrK4ewXhnOQayug1ywY8Ro4+coaLkWdwqdxn3Li9gna2LThuT7PMTlwMqYm8pb5Vt+4Qd7yD6mIjr4b0PUi9uOMD/zKvFHM6d8GdM0Iom1H+QFd53ZuJf7AblSo6Dv5AQZMnY6FtZEBXYVVhoCuSwWY2FvgGOaPTV+ZTbtOR3x8PMePH6eyspKePXsyatQoEdBVD/d6YzwMKAc2/dIYq1QqU+AmMBbIBGKAWRia5N9vHlwgSVLe3e/7bWP8GnBAkqQElUr1nSRJs/+oDtEY/28HPv+E9EsXeGrtZqVLaZG+fT0az0BHEbxVD5Jez81Bg7EfMxrvd99VupxWQS/pGbttLN1du7Ni1Aqly2nZvp8N6dGwNBEsRSBTc5atrmLBxlhu5pbxj6ndmDNQ5Eq0dMUVGrbG3mbLuXRuF1XhYW/JrAF+zB7oRxuHJghXqiiEU5/A+a8AFQx8EoYuBRt5S6JjcmL4JPYTEgsT6eTciWX9ljHYW/6JGuVRpwwBXbdu1S+g63wOZ3elUF5cQ7tebgx6QH5Alzovl1M/bOJ69ElsHJ0Y/OAceowKMz6gK70U9b4UNBllmHva4DgxECuZTXt1dTWnTp3izJkzqFQqQkJCGDp0qAjokuGebowBVCpVALD3N43xIODvkiSNu/vr1wAkSfrDRJ3/MmNcLEnSXpVK9YMkSTP/6HtFY/y/bXr1eWwdnZj++j+ULqXFEcFbDaPm1i1Sptwn9hc3ocv5l5m9fzbvDX2PKe2nKF1Oy5V/Ez7vD8NfhZGvK12NUA9X7qhZsDGGihodq2f3YUQn485RFZo3nV7i5M08Np1J5+TNfExUKsZ1a8P8we3oHyAvzdgoJRlw/H24+D1YOcDQZYYmWcYZyHpJz6G0Q6yIX0FWeRZDvIewtO9SOrl0klWapNOh3rmTvBUr0OUXYD9hPB7LlmHha9zs9m8DunQaPd2GtaX/pADZAV3ZSTc4uXkDWdev4Orjx7BHHqNd737GB3RdLkB9MA1dUTWWHZ1xmtgOc5lNe0lJCceOHePSpUvY2NgwcuRIgoODRUCXEZpjYzwDGC9J0qK7v54LDJQk6dn/8f2uwLsYZpjXSZL0/t09xquBauDUf9tjrFKpngCeuPvL7kBiQ/5cTcARUDez55E7lrHfV9fH1+Vxf/SYP/qaG1BQhxruJeKaqv/jxTX178Q1Vf/H/9nj6vN1cU01/vPUZ5zGuKYa4jEt6ZpqquupIZ+rqa6ppnrf+6OvN7frCZrfa1R9xmqOn6U6SZIkf/mVJEmN+h8QACT+5tcPYmhwf/n1XGBVI9cQ29g/ZyPU/FVzex65Yxn7fXV9fF0e90eP+ZOviWuqCZ5HXFP39n/imqr/4//scfX5urimGv956jNOY1xTDfGYlnRNNdX11JDP1VTXVFO97/3R15vb9dSQf89N+TzN7X3vzx7TmK9RSiRCZAK/XT/hA9xRoI573Z5m+DxyxzL2++r6+Lo87o8e01R/B01FXFP1f7y4pv6duKbq//g/e1x9v97cNLdrqj7jNMY11RCPaUnXVFP+LM3tmmqq9z1jnqs5aG6vUfUZq9V9llJiKbUZhvCt0UAWhvCt2ZIkXWnEGmKleqw3F4TfE9eU0NDENSU0NHFNCQ1NXFNCQxLXk9DQ6ntNNeqMsUql+h44A3RSqVSZKpVqoSRJWuBZ4BBwDdjamE3xXV818vhC6yOuKaGhiWtKaGjimhIamrimhIYkriehodXrmmr0GWNBEARBEARBEARBuJeJU+cFQRAEQRAEQRCEVk00xoIgCIIgCIIgCEKrJhpjQRAEQRAEQRAEoVVr9Y2xSqUKVKlU61Uq1TalaxGaL5VKZatSqb5VqVRfq1SqOUrXIzR/4rVJaEgqler+u69Pu1QqVZjS9QjNn0ql6qJSqb5UqVTbVCrVYqXrEVqGu5+n4lQq1WSlaxGaP5VKNUKlUkXdfa0a8WePb9aNsUql2qBSqfJUKlXi735/vEqluqFSqZJUKtX//dEYkiSlSJK0sHErFZojI1xohV8AAAdCSURBVK+vacA2SZIeB+5r8mKFZsGYa0q8Ngl/xsjr6ee7r0/zgYcVKFdoBoy8pq5JkvQU8BAgjtwR/isZn9VfBbY2bZVCc2LkNSUB5YAVkPlnYzfrxhjYCIz/7W+oVCpT4HNgAtAVmKVSqbqqVKoeKpVq7+/+82j6koVmZCN1vL4AH+D23YfpmrBGoXnZSN2vKUH4Mxsx/np68+7XBeG/2YgR15RKpboPOAUcbdoyhWZkI3X/rD4GuArkNnWRQrOykbq/TkVJkjQBww2Xt/5s4GbdGEuSFAkU/e63/7+9+4uRs6ziOP79YS01kqi0EqWoJVgbrSgIIViNUdILL0i0WrTFxNQ/JBgxqfgPLSZc2AuExqRqwEhME2OLJrbaEgElodG0xUCL2goXFsXY9IJKCSKgWPd4Me+Gt9Od7m777q67+/0kk8zzzJlnTjanb+bM88z0MuBgs9vyAnAn8IGq2l9VV/bdnpj0pDVtjKe+6H0KdV4TM63/XWnijLOmpJMaTz2l52bg7qraN9m5anoY7zWqqrZX1TLArxBpROOsqfcBlwNXA9ck8f2UTjDO/m+oefwp4MzR1p6JBbeQF3fuoNewLBwUnGR+ktuBi5N8daKT07Q3qL62Ah9OchuwYyoS07Q1Yk15bdIpGnSN+hywHFiZ5NqpSEzT1qBr1HuTbEzyPeAXU5OapqkRa6qq1lXVWmAz8P1WUyONZtB16kPNNeqHwHdGW2TOBCU3lTLCXA0KrqonAd8kaKxGrK+qehb4xGQnoxlhUE15bdKpGFRPG4GNk52MZoRBNbUT2Dm5qWiGOOl79araNHmpaIYYdJ3aSm/zakxm4o7xIeB1rfF5wOEpykUzj/WlrllT6pL1pK5ZU+qaNaWudVJTM7ExfhBYnOT8JHOBVcD2Kc5JM4f1pa5ZU+qS9aSuWVPqmjWlrnVSU9O6MU6yBdgDLElyKMmnquoYcB1wL/Ao8JOq+uNU5qnpyfpS16wpdcl6UtesKXXNmlLXJrKmUjXw67eSJEmSJM1403rHWJIkSZKk02VjLEmSJEma1WyMJUmSJEmzmo2xJEmSJGlWszGWJEmSJM1qNsaSJEmSpFnNxliSpD5JvpVkbWt8b5I7WuMNSa5vjT+f5F9JXtGMX57kyeFxK+5nST6SZE2SI0l+17q9JcmiJAdGyGdTkr+0Ync382uSDCV5Wyv2QJJFzf2zktyW5LEkDyfZm+SaJBe21jraWvu+kXJIclOSLw74W61N8vHx/YVHluTWJFd0sZYkSeNhYyxJ0ol2A8sAkpwBLACWth5fBuxqjVcDDwIrAKrqWeCXwAeHA5om+d3AXc3Uj6vqotbtkVFy+lIrdllr/hCwbsBz7gCeAhZX1cXA+4Gzq2r/8FrA9tbay0fJ4ThJ5gCfBDaP53kn8W3gho7WkiRpzGyMJUk60S6axpheQ3wAeCbJq5KcCbwZeBggyQXAWcCN9BrkYVuAVa3xCuCeqnqu41zvApYmWdKebPK6DLixqoYAqupIVd3c4WtfAeyrqmPNa+5Mcmlzf0GSx5v7a5rd8h3N7vR1Sa5vdrEfSHJ2k99fgflJXtNhjpIkjcrGWJKkPlV1GDiW5PX0GuQ9wG+BdwKXAn+oqhea8NX0muDfAEuSnNPM3wNckmR+M17VxA37aN9R6peNktYtrdgfteaHgG8CX+uLXwr8frgpHqcL2rkB1w6Iexewd4xrvhW4ml6zvh54rtnF3gO0j2Lva9aVJGnS2BhLkjSy4V3j4cZ4T2u8uxW3CrizaUC3AlcBNI3zdmBlkgXARfSOVw/rP0r9/Cj5tI9Sf6zvsc3A5UnOH/TkJOuaRvfwKK8D8Fg7N+D2AXGvBY6MYT2A+6vqmao6AjwN7Gjm9wOLWnFPAOeOcU1JkjoxZ6oTkCTp/9Tw94wvpHeU+m/AF4B/AD8AaH70ajHwqyQAc4E/A99t1thC74h1gJ9X1X8mItGqOpZkA/CV1vQjwNuTnFFVQ1W1Hlif5J8dvvTzwLzW+Bgvfug+ry/23637Q63xEMe/H5nXrCtJ0qRxx1iSpJHtAq4EjlbVf6vqKPBKesep9zQxq4GbqmpRczsXWJjkDc3j99NrnD/L8ceoJ8ImYDnwaoCqOgg8BHwjyUsAksyj16R35VHgja3x48Alzf2Vp7jmm+h9ECFJ0qSxMZYkaWT76f0a9QN9c09X1d+b8SpgW9/ztjXzNMerfwrMB37dF9f/HePhH/takuRQ63ZVM39LX/zc9mLN0e2NwDmt6U83r30wyV7gPo7fVT5ddwPvaY1vBT7T/HdSC8a7WJKX0mu0H+omPUmSxiZVNdU5SJKkaSrJNuDLVfWnDtZaAbyjqr5++plJkjR27hhLkqTTcQO9H+HqwhxgQ0drSZI0Zu4YS5IkSZJmNXeMJUmSJEmzmo2xJEmSJGlWszGWJEmSJM1qNsaSJEmSpFnNxliSJEmSNKvZGEuSJEmSZrX/AU38GBoa6/Y4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(wv,rad3K,\n",
    "       wv,rad10K,\n",
    "       wv,rad30K,\n",
    "       wv,rad100K,\n",
    "       wv,rad300K,\n",
    "       wv,rad1000K,\n",
    "       wv,rad3000K,\n",
    "       wv,rad10000K)\n",
    "loglog(wv_rad, max_rad,'ko')\n",
    "axis([0.1, 100000, 10e-11, 10e10]);\n",
    "xlabel('WAVELENGTH (um)')\n",
    "ylabel('PLANCK RADIANCE (W m-2 sr-1 um-1)')\n",
    "title('Collection of Planck Functions from 3 K to 10,000 K')\n",
    "legend(['3 K', '10 K', '30 K', '100 K', '300 K', '1000 K', '3000 K', '10000 K'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now Wien's Law"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot the wavelengths of maximum emission as a function of temperature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MPirJ6SSPT/LTSX6xu/96ytkm8swsAADA1WuvZ2b3vM24qh6TjRL7ZUn+ZZLndvenrnxEAAAA2L9Jz8z+YZIPZOPZ2ccleVzVpx+f7e4XTC8aAAAA7GxSmX1uNiZ8AgAAgCNjzzLb3Tfttq6qJhVhAAAAmIpJ75l965bPv7xt9X+aSiIAAACYYM8ym+Szt3z+sm3rKgAAADCASWV2r+dlPUsLAADAICY99/o5VfWMbJTez6mqZ26OV5LZqSYDAACAXUwqs29O8tQtn09tWfeWqSQCAACACSbNZvyc3dZV1d+/8nEAAABgsknPzO7lZ69YCgAAADiAyymzZjMGAABgEJdTZs1mDAAAwCD2fGa2qt6VnUtrJXnoVBIBAADABJNmM/7WQ0lxQFV1KsmphYWFoaMAAAAwgEm3GX9Wd5/t7rNJ/uzi583lhx1Cvh1195nuXp6d9apbAACA42hSmf13Wz6/bdu6f32FswAAAMC+TCqztcvnnZYBAADgUEwqs73L552WAQAA4FBMmgDqEVX14mxchb34OZvLD59qMgAAANjFpDL7Q1s+r29bt30ZAAAADsWkMvuXSX69u//bYYQBAACA/Zj0zOxSknNV9UtV9ZSqut9hhAIAAIC97Flmu/sZSRaSvDHJC5J8oKp+vqq+/jDCAQAAwE4mXZlNd/95d/9idz8lyWOTvDPJv6qqD0w9HQAAAOxgYpm9qKo+N8kzkzwryYOT/Mq0QgEAAMBe9pwAqqoemOTpSW5I8lVJXpvkJ5L8Tnd7zywAAACDmDSb8fuTvCHJzyf5ze7+6+lHAgAAgL1NKrMnu/vC9sGqemSSZ3f3T04nFgAAAOxu0mzG9xTZqvq8qvreqnpLkjcleeiUswEAAMCO9vPM7DOSfEeSL07y6iRf2N2POIRsAAAAsKNJtxnfleQ/JfnRJG/t7q6qZ0w/FgAAAOxu0qt5/mmSB2RjAqgfqaovmn4kAAAA2NukZ2Z/trsfn+SpSSrJa5J8flX9cFV98WEEBAAAgO0mXZlNknT3+7p7pbsfm+Srk8wmef1UkwEAAMAu9iyzVfX9VfXVVXXPs7Xd/a7u/qfd7ZZjAAAABjFpAqhHJPm/k3xJVf1Rkt9P8ntJ3tbdH512OAAAANjJnmW2u38wSarq/kkWkzwhyfckeVlVfay7r5t+RAAAALi3SVdmL/qsJA/KxrOys0k+mORd0woFAAAAe9mzzFbVapIvS/LxJP8xG7cZ/0x3/9dDyAYAAAA7mjSb8ckkn5nkz5L8SZI7k3xs2qEAAABgL5Oemb2+qiobV2efkOT/SPKYqvpoNiaB+j8PISMAAADcy8RnZru7k7y7qj6W5Pzmz7cmeVwSZRYAAIBDN+mZ2Rdk44rsE5P8dTZfy5Pk5TEBFAAAAAOZdGV2Psmrkvzj7v7TaQapqi9McjrJbHd/2zSPBQAAwLjtOQFUd/9Ad7/qUotsVb28qu6qqndvG7++qt5bVbdX1Qs3j/W+7n7upRwHAACA42XSbMaX66Yk128dqKr7JXlJkqckuS7JDVV13ZRzAABH0NraWubn53PixInMz89nbW1t6EgAjMTECaAuR3e/parmtw0/Lsnt3f2+JKmqm5M8LckfTzMLAHC0rK2tZXl5ORcuXEiSnD17NsvLy0mSpaWlIaMBMALTvjK7k4cn+cCW5TuTPLyqHlJVL03ylVX1I7ttXFXLVbVeVesf+tCHpp0VAJiS06dP31NkL7pw4UJOnz49UCIAxmTSbMYfT9JbhzaXKxtv7XnQJRyzdhjr7v5IkudN2ri7V5OsJsni4mJP+DoAcESdO3fuQOMAsNWkK7NvzMbtvz+R5DHd/cDuftDFf17iMe9M8sgty49I8sFL3BcAMFInT5480DgAbDVpNuOnJ/mWJB9K8rKqenNV/aOqevBlHPPtSR5VVV9QVfdP8uwkr72M/QEAI7SyspKZmZl7jc3MzGRlZWWgRACMycRnZrv7fHf/QjZmH35pkhcl+e797LyqXpHkbUkeXVV3VtVzu/vuJM9P8oYktyZ5ZXe/5xLzAwAjtbS0lNXV1czNzaWqMjc3l9XVVZM/AbAv1b33Y6dV9YQkNyT5uiRvTfLvu/t3DyHbXplOJTm1sLBw42233TZkFAAAAKakqm7p7sUd1+1VZqvqjiQfS3Jzkt9OcvfW9d39jisX8+AWFxd7fX19yAgAAABMyV5ldtJ7Zu/IxuzF37L5s1Un+YbLTgcAAAAHtGeZ7e4nHVIOAAAA2LdJ75l95rahTvLhJO/s7o9PLRUAAADsYdJtxqd2GHtwki/fnJn4t6eQCQAAAPY06Tbj5+w0XlVzSV6Z5PHTCDXJltmMhzg8AAAAA5v4ntmddPfZJJ9xhbMc5Phnunt5dnZ2qAgAAAAM6JLKbFU9OslfXeEsAAAAsC+TJoA6k41Jn7Z6cJKHJfnOaYUCAACAvUyaAOqnti13ko8kua27PzmdSAAAALC3SRNAvfmwggAAAMB+TbrN+OO5923GtblcSbq7HzTFbHvlMpsxAADAMTZpAqg3JvnjJD+R5DHd/cDuftDFf04/3s7MZgwAAHC87Vlmu/vpSb4lyYeSvKyq3lxV/6iqHnwo6QAAAGAHE1/N093nu/sXkjwlyUuTvCjJd085FwAAAOxq0mzGqaonJLkhydcleWuSZ3T37047GAAAAOxm0gRQdyT5WJKbkywnuXtz/KuSpLvfMeV8AAAAcB+TrszekY3Zi79l82erTvINU8gEAAAAe5r0ntknHVIOAAAA2LdJtxk/c6/13f2rVzbO/njPLAAAwPE26TbjU3us6ySDlNnuPpPkzOLi4o1DHB8AAIBhTbrN+DmHFQQAAAD2a8/3zFbVv6qqB+4w/iVV9VvTiwUAAAC727PMJvmzJO+squ9Ikqqaqap/meS1SV4y7XAAAACwkz3LbHevJPnGJEtV9ZYkf5SNd81+RXe/+hDyAQAAwH1MujKbbEz0lGw8X3siya3dfWF6kQAAAGBvk56Z/dEkv5Xkl7r7CUm+LsnTqurNVXXdYQQEAACA7Sa9mufaJF/Z3R9Pku7+kyTfVlVPSfIrSb50yvkAAADgPia9mud/32X89VX1l9OJNFlVnUpyamFhYagIAAAADGg/z8zeo6quq6oXVdVtSX5mSpkm6u4z3b08Ozs7VAQAAAAGNOk241TVXJIbNn/uTjKXZLG775huNAAAANjZpAmgfj/J65J8RpJv6+6/m+TjiiwAAABDmnSb8YeSPDDJQ7MxGVTy6Vf1AAAAwCD2LLPd/bQkj03yjiQ/XlXvT/K5VfW4wwgHAAAAO5n4zGx3n0/y8iQvr6qHJnlWkp+rqkd29yOnHRAAAAC2O9Bsxt39X7r7xd39hCRfO6VMAAAAsKc9r8xW1WsnbP/UK5gFAAAA9mXSbcb/fZIPJHlFkv+YpKaeCAAAACaYVGb/uyTflI13zH5Hkt9I8orufs+0g+2lqk4lObWwsDBkDAAAAAYyaTbjT3X3b3b3/5Lka5LcnuRNVfV9h5Ju91xnunt5dnZ2yBgAAAAMZOJsxlX1mUn+p2xcnZ1P8uIkvzrdWAAAALC7SRNA/WKSxyR5fZIf7+53H0oqAAAA2MOkK7P/IMlfJvniJC+oumf+p0rS3f2gKWYDAACAHe1ZZrv7QO+hBQAAgMOgrAIAADA6yiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6yiwAAFOztraW+fn5nDhxIvPz81lbWxs6EnCVuGboAAAAXJ3W1tayvLycCxcuJEnOnj2b5eXlJMnS0tKQ0YCrQHX30BkOrKpOJTm1sLBw42233TZ0HAAAdjA/P5+zZ8/eZ3xubi533HHH4QcCRqeqbunuxZ3WjfI24+4+093Ls7OzQ0cBAGAX586dO9A4wEGMsswCAHD0nTx58kDjAAehzAIAMBUrKyuZmZm519jMzExWVlYGSgRcTZRZAACmYmlpKaurq5mbm0tVZW5uLqurqyZ/Aq6IUU4AddHi4mKvr68PHQMAAIApuOomgAIAAOB4U2YBAAAYHWUWAACA0VFmAQAAGB1lFgAAgNFRZgEAABgdZRYAAIDRUWYBAAAYHWUWAACA0VFmAQAAGB1lFgAAgNFRZgEAABgdZRYAAIDRGWWZrapTVbV6/vz5oaMAAAAwgFGW2e4+093Ls7OzQ0cBAABgAKMsswAAABxvyiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6yiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6yiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6yiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6yiwAAACjo8wCAAAwOsosAAAAo3PN0AEuqqrPTvKvk3wyyZu6e23gSAAAABxRU70yW1Uvr6q7qurd28avr6r3VtXtVfXCzeFnJnlVd9+Y5KnTzAUAAMC4Tfs245uSXL91oKrul+QlSZ6S5LokN1TVdUkekeQDm1/71JRzAQAAMGJTLbPd/ZYkH902/Lgkt3f3+7r7k0luTvK0JHdmo9BOPRcAAADjNkRpfHg+fQU22SixD0/yq0n+flX9fJIzu21cVctVtV5V6x/60IemmxQAAI6htbW1zM/P58SJE5mfn8/amulsOHqGmACqdhjr7v7LJM+ZtHF3ryZZTZLFxcW+wtkAAOBYW1tby/Lyci5cuJAkOXv2bJaXl5MkS0tLQ0aDexniyuydSR65ZfkRST44QA4AAGCb06dP31NkL7pw4UJOnz49UCLY2RBl9u1JHlVVX1BV90/y7CSvHSAHAACwzblz5w40DkOZ9qt5XpHkbUkeXVV3VtVzu/vuJM9P8oYktyZ5ZXe/Z5o5AACA/Tl58uSBxmEo057N+Ibuflh3f0Z3P6K7/+3m+Ou6+4u7+4u6e+Wg+62qU1W1ev78+SsfGgAAjrGVlZXMzMzca2xmZiYrKwf+33aYqlG+Aqe7z3T38uzs7NBRAADgqrK0tJTV1dXMzc2lqjI3N5fV1VWTP3HkVPd4JwReXFzs9fX1oWMAAAAwBVV1S3cv7rRulFdmAQAAON6UWQAAAEZHmQUAAGB0RllmzWYMAABwvI2yzJrNGAAA4HgbZZkFAADgeFNmAQAAGB1lFgAAgNFRZgEAABgdZRYAAIDRGWWZ9WoeAACA422UZdareQAAAI63UZZZAAAAjjdlFgAAgNFRZgEAABgdZRYAAIDRUWYBAAAYnVGWWa/mAQAAON5GWWa9mgcAAOB4G2WZBQAA4HhTZgEAABgdZRYAAIDRUWYBAAAYHWUWAACA0VFmAQAAGB1lFgAAgNEZZZmtqlNVtXr+/PmhowAAADCAUZbZ7j7T3cuzs7NDRwEAAGAAoyyzAAAAHG/KLAAAAKOjzAIAADA6yiwAAACjo8wCAAAwOsosAAAAo6PMAgAAMDrKLAAAAKOjzAIAADA6oyyzVXWqqlbPnz8/dBQAAAAGMMoy291nunt5dnZ26CgAAAAMYJRlFgAAgONNmQUAAGB0lFkAAABGR5kFAABgdJRZAAAARkeZBQAAYHSUWQAAAEZHmQUAAGB0lFkAAABGR5kFAAA4RtbW1jI/P58TJ05kfn4+a2trQ0e6JNcMHQAAAIDDsba2luXl5Vy4cCFJcvbs2SwvLydJlpaWhox2YK7MAgAAHBOnT5++p8hedOHChZw+fXqgRJdulGW2qk5V1er58+eHjgIAADAa586dO9D4UTbKMtvdZ7p7eXZ2dugoAAAAo3Hy5MkDjR9loyyzAAAAHNzKykpmZmbuNTYzM5OVlZWBEl06ZRYAAOCYWFpayurqaubm5lJVmZuby+rq6ugmf0qS6u6hM1yyxcXFXl9fHzoGAAAAU1BVt3T34k7rXJkFAABgdJRZAAAARkeZBQAAYHSUWQAAAEZHmQUAAGB0lFkAAABGR5kFAABgdJRZAAAARkeZBQAAYHSUWQAAAEZHmQUAAGB0lFkAAABGR5kFAABgdJRZAAAARkeZBQAAYHSqu4fOcMmq6nyS24bOMcFskvNXyWnJ7W0AAAe5SURBVPGu1L4vZz+Xuu1Bt9vv9z8vyYcvIc/V7LD/m78UQ2Sc1jGPwnl5qds7Lw/XUT83r6bz8kru+6j/zjzId52b93XUz8vk6jo3j8J5eanbH+ffmXPdfe2Oa7p7tD9JVofOcNQyTvN4V2rfl7OfS932oNvt9/tJ1g/z3+8YfpyXh3vMo3BeXur2zsvD/Tnq5+bVdF5eyX0f9d+ZB/yuc/MK/vu9mjP6nXn52xyX35ljv834zNAB9uGwM07zeFdq35ezn0vd9qDbjeG/raNqDH93Q2Sc1jGPwnl5qds7Lw/XUf/7u5rOyyu576P+O/Oo/3d11I3h7+9qOjePwnl5qdv7nbmDUd9mDEOrqvXuXhw6B/Bpzks4mpybcPSM/bwc+5VZGNrq0AGA+3BewtHk3ISjZ9TnpSuzAAAAjI4rswAAAIyOMgsAAMDoKLMAAACMjjILV1BVfWFV/duqetXQWYANVfX0qnpZVf1aVX3z0HmApKq+tKpeWlWvqqrvHToP8GlV9dlVdUtVfevQWSZRZmGCqnp5Vd1VVe/eNn59Vb23qm6vqhcmSXe/r7ufO0xSOD4OeF6+prtvTPLdSZ41QFw4Fg54Xt7a3c9L8u1JRvtaEBiDg5ybm344ySsPN+WlUWZhspuSXL91oKrul+QlSZ6S5LokN1TVdYcfDY6tm3Lw8/JHN9cD03FTDnBeVtVTk7w1yRsPNyYcOzdln+dmVX1jkj9O8l8OO+SlUGZhgu5+S5KPbht+XJLbN6/EfjLJzUmedujh4Jg6yHlZG/5Fktd39zsOOyscFwf9fdndr+3uJyRZOtykcLwc8Nx8cpKvSfIdSW6sqiPdF68ZOgCM1MOTfGDL8p1JHl9VD0mykuQrq+pHuvufDZIOjqcdz8sk35fkG5PMVtVCd790iHBwTO32+/JJSZ6Z5DOTvG6AXHDc7Xhudvfzk6SqvjvJh7v7bwbItm/KLFya2mGsu/sjSZ532GGAJLufly9O8uLDDgMk2f28fFOSNx1uFGCLHc/Nez5033R4US7dkb5sDEfYnUkeuWX5EUk+OFAWYIPzEo4e5yUcTVfFuanMwqV5e5JHVdUXVNX9kzw7yWsHzgTHnfMSjh7nJRxNV8W5qczCBFX1iiRvS/Loqrqzqp7b3XcneX6SNyS5Nckru/s9Q+aE48R5CUeP8xKOpqv53KzunvwtAAAAOEJcmQUAAGB0lFkAAABGR5kFAABgdJRZAAAARkeZBQAAYHSUWQAAAEZHmQXgWKqqh1TVOzd//qyq/mTLcm/5/M6qeuHmNm+qqnNVVVv285qq+ovNz/NV9YnNbf64ql5aVSe2jV/8+a7Nbe6oqndV1R9V1Zuram5bzmds5vmSzeXHbtnHR6vq/Zuff6uqnlRVv75t+5uq6tu25H9vVf1hVb29qr5iy/cu5ri47xfv8vf2/Vuyb933g6vqD6rqOVV1bVX95uX/WwKA3V0zdAAAGEJ3fyTJVyRJVf1Ykr/o7p/aXP6L7v6KXTb9WJInJnlrVX1OkodtW/+fu/srquqaJL+d5OlJ3nFxfJd9Prm7P1xVP57kR5PcuGXdDUnemuTZSX6su9+1JfdNSX69u1+1ufykffzRl7p7vaqek+Qnk3zT9hy7bbj5Z/qeJF+1bXw2yRuSrHb3L2yO/WlVPbG7f28fmQDgwFyZBYCDuTkbxTJJnpnkV3f6UnffneT3kywcYN9vS/LwiwtV9beyUZyfu+WYV8q9jrVP35DkHZt/tov+VpLXJ/l33f3zW8Zfk2Tp8iICwO6UWQC4r8/adkvws7ase2OSr6+q+2WjYP77nXZQVTNJ/sck79oc+qJt+/y6HTa7Phsl8KKnJ/nN7v7/kny0qr5qh20u1fZjJcnvbMn3j3fY5olJbtk29jNJ3trdP7ttfD3JTn9GALgi3GYMAPf1iT1uCf5UNm77fVaSz+ruO7Y8QptsltYkneTXuvv1VTWfvW8z/p2qemiSu7Jxm/FFNyT5uc3PN28uv2OP3L2P8bWq+uwk98u224Uz4TbjbNxSfeu2sd9O8rSq+qnuvmvL+F1JPn+PfQHAZVFmAeDgbk7y6iQ/tsO6vUrrbp6c5C+T3JTkRUl+oKoeko3beh9TVZ2N8tlV9U+6e7fS+pEkn7tt7MFJthbUpSR/mOSfJ3lJNm6V3q9PJHnAtrGbs1HuX1dVT+7uj2+OP2Dz+wAwFW4zBoCD+90k/yzJK67UDrv7E0m+P8l3VdWDk3xbkl/q7rnunu/uRyZ5f5Kv3WM3tyX5/Kr60iTZnBn57yR557Zj/XU2rgB/zcXv7tOt2eEZ4O7+uWzcfv3qqrr/5vAXJ3n3AfYNAAeizALAfW1/Zvafb13ZG35qwi25221/ZvYF27/Q3X+ajYL8v2XjluJXb/vKryT5jt0O0N1/leQ7k/zC5q3Or0ryD7v7/A7f/USSn07yg1uGtz4z+0s7HOL1Sb5+l2P/cJIPJPnlqjqRjavNv7FbVgC4XLX7nUoAAPdWVa9O8k+6+7YJ33tLkqd19389nGQAHDfKLACwb1X16CQP7e637PGda5M8sbu3z5YMAFeMMgsAAMDoeGYWAACA0VFmAQAAGB1lFgAAgNFRZgEAABgdZRYAAIDRUWYBAAAYnf8f7MaS3nUTYMYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(T,wv_rad,'ko')\n",
    "xlabel('TEMPERATURE (K)');\n",
    "ylabel('MAXIMUM WAVELENGTH (um)');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### And note that Wien's Law is a fit to this line."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$ \\lambda_{max} = \\frac{2897 \\mu m K}{T (in K)} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(16,8))\n",
    "loglog(T,wv_rad,'ko',T,2897/T,'r--')\n",
    "xlabel('TEMPERATURE (K)');\n",
    "ylabel('MAXIMUM WAVELENGTH (um)');\n",
    "title('Wien''s Law');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
